72971928 has 48 divisors (see below), whose sum is σ = 204957480. Its totient is φ = 24323328.

The previous prime is 72971887. The next prime is 72971933. The reversal of 72971928 is 82917927.

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 11 ways as a sum of consecutive naturals, for example, 16825 + ... + 20712.

Almost surely, 2^72971928 is an apocalyptic number.

It is an amenable number.

72971928 is an abundant number, since it is smaller than the sum of its proper divisors (131985552).

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

72971928 is a wasteful number, since it uses less digits than its factorization.

72971928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37558 (or 37542 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 72971928 is about 8542.3607978123. The cubic root of 72971928 is about 417.8803408930.

The spelling of 72971928 in words is "seventy-two million, nine hundred seventy-one thousand, nine hundred twenty-eight".