72864832 has 28 divisors (see below), whose sum is σ = 145449036. Its totient is φ = 36216320.

The previous prime is 72864821. The next prime is 72864893. The reversal of 72864832 is 23846827.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 28987456 = 6624^2 + 5384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7782 + ... + 14362.

Almost surely, 2^72864832 is an apocalyptic number.

It is an amenable number.

72864832 is a deficient number, since it is larger than the sum of its proper divisors (72584204).

72864832 is a wasteful number, since it uses less digits than its factorization.

72864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6756 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 72864832 is about 8536.0899714096. The cubic root of 72864832 is about 417.6758091601.

The spelling of 72864832 in words is "seventy-two million, eight hundred sixty-four thousand, eight hundred thirty-two".