72915984 has 80 divisors (see below), whose sum is σ = 212803840. Its totient is φ = 23898240.

The previous prime is 72915971. The next prime is 72916001. The reversal of 72915984 is 48951927.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24969 + ... + 27735.

It is an arithmetic number, because the mean of its divisors is an integer number (2660048).

Almost surely, 2^72915984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72915984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106401920).

72915984 is an abundant number, since it is smaller than the sum of its proper divisors (139887856).

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

72915984 is a wasteful number, since it uses less digits than its factorization.

72915984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2833 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 72915984 is about 8539.0856653391. The cubic root of 72915984 is about 417.7735241339.

The spelling of 72915984 in words is "seventy-two million, nine hundred fifteen thousand, nine hundred eighty-four".