72864084 has 24 divisors (see below), whose sum is σ = 170960608. Its totient is φ = 24153120.

The previous prime is 72864079. The next prime is 72864133. The reversal of 72864084 is 48046827.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14602 + ... + 18945.

Almost surely, 2^72864084 is an apocalyptic number.

It is an amenable number.

72864084 is an abundant number, since it is smaller than the sum of its proper divisors (98096524).

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

72864084 is a wasteful number, since it uses less digits than its factorization.

72864084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33735 (or 33733 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 72864084 is about 8536.0461573260. The cubic root of 72864084 is about 417.6743799266.

The spelling of 72864084 in words is "seventy-two million, eight hundred sixty-four thousand, eighty-four".