72870432 has 48 divisors (see below), whose sum is σ = 202541472. Its totient is φ = 22860800.

The previous prime is 72870409. The next prime is 72870443. The reversal of 72870432 is 23407827.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72870393 and 72870402.

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, 20694 + ... + 23957.

It is an arithmetic number, because the mean of its divisors is an integer number (4219614).

Almost surely, 2^72870432 is an apocalyptic number.

It is an amenable number.

72870432 is an abundant number, since it is smaller than the sum of its proper divisors (129671040).

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

72870432 is a wasteful number, since it uses less digits than its factorization.

72870432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44681 (or 44673 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 72870432 is about 8536.4179841430. The cubic root of 72870432 is about 417.6865089931.

The spelling of 72870432 in words is "seventy-two million, eight hundred seventy thousand, four hundred thirty-two".