72815972 has 24 divisors (see below), whose sum is σ = 131021184. Its totient is φ = 35392032.

The previous prime is 72815969. The next prime is 72816001. The reversal of 72815972 is 27951827.

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, 28283 + ... + 30749.

It is an arithmetic number, because the mean of its divisors is an integer number (5459216).

Almost surely, 2^72815972 is an apocalyptic number.

It is an amenable number.

72815972 is a deficient number, since it is larger than the sum of its proper divisors (58205212).

72815972 is a wasteful number, since it uses less digits than its factorization.

72815972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2673 counting only the distinct ones).

The product of its digits is 70560, while the sum is 41.

The square root of 72815972 is about 8533.2275253857. The cubic root of 72815972 is about 417.5824298500.

The spelling of 72815972 in words is "seventy-two million, eight hundred fifteen thousand, nine hundred seventy-two".