72718920 has 48 divisors (see below), whose sum is σ = 236337660. Its totient is φ = 19391616.

The previous prime is 72718913. The next prime is 72718931. The reversal of 72718920 is 2981727.

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 26244 = 8526^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 100639 + ... + 101358.

Almost surely, 2^72718920 is an apocalyptic number.

It is an amenable number.

72718920 is an abundant number, since it is smaller than the sum of its proper divisors (163618740).

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

72718920 is a wasteful number, since it uses less digits than its factorization.

72718920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202014 (or 202007 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72718920 is about 8527.5389181170. The cubic root of 72718920 is about 417.3968239193.

The spelling of 72718920 in words is "seventy-two million, seven hundred eighteen thousand, nine hundred twenty".