72584904 has 32 divisors (see below), whose sum is σ = 207385920. Its totient is φ = 20738496.

The previous prime is 72584899. The next prime is 72584923. The reversal of 72584904 is 40948527.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215859 + ... + 216194.

It is an arithmetic number, because the mean of its divisors is an integer number (6480810).

Almost surely, 2^72584904 is an apocalyptic number.

It is an amenable number.

72584904 is an abundant number, since it is smaller than the sum of its proper divisors (134801016).

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

72584904 is a wasteful number, since it uses less digits than its factorization.

72584904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432069 (or 432065 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72584904 is about 8519.6774586835. The cubic root of 72584904 is about 417.1402549677.

The spelling of 72584904 in words is "seventy-two million, five hundred eighty-four thousand, nine hundred four".