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272715072 = 2637296997
BaseRepresentation
bin10000010000010…
…100110101000000
3201000011100202020
4100100110311000
51024303340242
643021121440
76521016450
oct2020246500
9630140666
10272715072
1112aa38963
12773b9280
1344666886
142830dd60
1518e1e6ec
hex10414d40

272715072 has 112 divisors (see below), whose sum is σ = 853196160. Its totient is φ = 75220992.

The previous prime is 272715061. The next prime is 272715097. The reversal of 272715072 is 270517272.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35478 + ... + 42474.

Almost surely, 2272715072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426598080).

272715072 is an abundant number, since it is smaller than the sum of its proper divisors (580481088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272715072 is a wasteful number, since it uses less digits than its factorization.

272715072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 272715072 is about 16514.0870774015. The cubic root of 272715072 is about 648.4896466820.

The spelling of 272715072 in words is "two hundred seventy-two million, seven hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 6997 9744 12992 13994 19488 20991 27988 38976 41982 48979 55976 83964 97958 111952 146937 167928 195916 202913 223904 293874 335856 391832 405826 447808 587748 608739 671712 783664 811652 1175496 1217478 1343424 1420391 1567328 1623304 2350992 2434956 2840782 3134656 3246608 4261173 4701984 4869912 5681564 6493216 8522346 9403968 9739824 11363128 12986432 17044692 19479648 22726256 34089384 38959296 45452512 68178768 90905024 136357536 272715072