72908584 has 16 divisors (see below), whose sum is σ = 156232800. Its totient is φ = 31246512.

The previous prime is 72908579. The next prime is 72908599. The reversal of 72908584 is 48580927.

It is a self number, because there is not a number n which added to its sum of digits gives 72908584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 650914 + ... + 651025.

It is an arithmetic number, because the mean of its divisors is an integer number (9764550).

Almost surely, 2^72908584 is an apocalyptic number.

It is an amenable number.

72908584 is an abundant number, since it is smaller than the sum of its proper divisors (83324216).

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

72908584 is a wasteful number, since it uses less digits than its factorization.

72908584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301952 (or 1301948 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 72908584 is about 8538.6523526842. The cubic root of 72908584 is about 417.7593908419.

The spelling of 72908584 in words is "seventy-two million, nine hundred eight thousand, five hundred eighty-four".