272915120 has 80 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 105591552.

The previous prime is 272915089. The next prime is 272915129. The reversal of 272915120 is 21519272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×272915120² = 148965325449228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272915129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315809 + ... + 316671.

It is an arithmetic number, because the mean of its divisors is an integer number (8195904).

Almost surely, 2^272915120 is an apocalyptic number.

272915120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).

272915120 is an abundant number, since it is smaller than the sum of its proper divisors (382757200).

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

272915120 is a wasteful number, since it uses less digits than its factorization.

272915120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 272915120 is about 16520.1428565252. The cubic root of 272915120 is about 648.6481727562.

The spelling of 272915120 in words is "two hundred seventy-two million, nine hundred fifteen thousand, one hundred twenty".