72656955 has 72 divisors (see below), whose sum is σ = 148638672. Its totient is φ = 32731776.

The previous prime is 72656869. The next prime is 72656989. The reversal of 72656955 is 55965627.

It is not a de Polignac number, because 72656955 - 2⁸ = 72656699 is a prime.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72656955.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182817 + ... + 183213.

It is an arithmetic number, because the mean of its divisors is an integer number (2064426).

Almost surely, 2^72656955 is an apocalyptic number.

72656955 is an abundant number, since it is smaller than the sum of its proper divisors (75981717).

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

72656955 is a wasteful number, since it uses less digits than its factorization.

72656955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 72656955 is about 8523.9049150023. The cubic root of 72656955 is about 417.2782333056.

The spelling of 72656955 in words is "seventy-two million, six hundred fifty-six thousand, nine hundred fifty-five".