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72731070 = 23255913697
BaseRepresentation
bin1000101010111…
…00100110111110
312001212010021100
410111130212332
5122104343240
611114513530
71542126636
oct425344676
9161763240
1072731070
1138066a25
12204358a6
13120b6949
1499336c6
1565b9e30
hex455c9be

72731070 has 48 divisors (see below), whose sum is σ = 192319920. Its totient is φ = 19064832.

The previous prime is 72731041. The next prime is 72731077. The reversal of 72731070 is 7013727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72731077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1539 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (4006665).

Almost surely, 272731070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72731070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96159960).

72731070 is an abundant number, since it is smaller than the sum of its proper divisors (119588850).

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

72731070 is a wasteful number, since it uses less digits than its factorization.

72731070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13766 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 72731070 is about 8528.2512861665. The cubic root of 72731070 is about 417.4200690802.

Adding to 72731070 its reverse (7013727), we get a palindrome (79744797).

The spelling of 72731070 in words is "seventy-two million, seven hundred thirty-one thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 13697 27394 41091 68485 82182 123273 136970 205455 246546 410910 616365 808123 1232730 1616246 2424369 4040615 4848738 7273107 8081230 12121845 14546214 24243690 36365535 72731070