72569904 has 40 divisors (see below), whose sum is σ = 204516672. Its totient is φ = 21990720.

The previous prime is 72569897. The next prime is 72569909. The reversal of 72569904 is 40996527.

It is not an unprimeable number, because it can be changed into a prime (72569909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68194 + ... + 69249.

Almost surely, 2^72569904 is an apocalyptic number.

It is an amenable number.

72569904 is an abundant number, since it is smaller than the sum of its proper divisors (131946768).

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

72569904 is a wasteful number, since it uses less digits than its factorization.

72569904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137465 (or 137459 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 72569904 is about 8518.7970981823. The cubic root of 72569904 is about 417.1115183455. Note that the first 3 decimals are identical.

The spelling of 72569904 in words is "seventy-two million, five hundred sixty-nine thousand, nine hundred four".