72587664 has 50 divisors (see below), whose sum is σ = 210093510. Its totient is φ = 24195456.

The previous prime is 72587659. The next prime is 72587681. The reversal of 72587664 is 46678527.

72587664 is a `hidden beast` number, since 7 + 2 + 587 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71571600 + 1016064 = 8460^2 + 1008^2 .

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 9 ways as a sum of consecutive naturals, for example, 26709 + ... + 29300.

Almost surely, 2^72587664 is an apocalyptic number.

It is an amenable number.

72587664 is an abundant number, since it is smaller than the sum of its proper divisors (137505846).

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

72587664 is a wasteful number, since it uses less digits than its factorization.

72587664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56029 (or 56014 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 72587664 is about 8519.8394351067. The cubic root of 72587664 is about 417.1455420750.

The spelling of 72587664 in words is "seventy-two million, five hundred eighty-seven thousand, six hundred sixty-four".