72408364 has 24 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 30856656.

The previous prime is 72408311. The next prime is 72408377. The reversal of 72408364 is 46380427.

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, 2212 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (6068160).

Almost surely, 2^72408364 is an apocalyptic number.

It is an amenable number.

72408364 is an abundant number, since it is smaller than the sum of its proper divisors (73227476).

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

72408364 is a wasteful number, since it uses less digits than its factorization.

72408364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637 (or 14635 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 72408364 is about 8509.3104303463. The cubic root of 72408364 is about 416.8017928312.

The spelling of 72408364 in words is "seventy-two million, four hundred eight thousand, three hundred sixty-four".