272520864 has 144 divisors (see below), whose sum is σ = 966288960. Its totient is φ = 70778880.

The previous prime is 272520769. The next prime is 272520881. The reversal of 272520864 is 468025272.

272520864 is a `hidden beast` number, since 2 + 72 + 520 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16032 + ... + 28320.

It is an arithmetic number, because the mean of its divisors is an integer number (6710340).

Almost surely, 2^272520864 is an apocalyptic number.

272520864 is a gapful number since it is divisible by the number (24) 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 272520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483144480).

272520864 is an abundant number, since it is smaller than the sum of its proper divisors (693768096).

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

272520864 is a wasteful number, since it uses less digits than its factorization.

272520864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 272520864 is about 16508.2059594615. The cubic root of 272520864 is about 648.3356742792.

It can be divided in two parts, 2725208 and 64, that added together give a palindrome (2725272).

The spelling of 272520864 in words is "two hundred seventy-two million, five hundred twenty thousand, eight hundred sixty-four".