72978120 has 48 divisors (see below), whose sum is σ = 237180060. Its totient is φ = 19460736.

The previous prime is 72978077. The next prime is 72978133. The reversal of 72978120 is 2187927.

It can be written as a sum of positive squares in 2 ways, for example, as 62441604 + 10536516 = 7902^2 + 3246^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100999 + ... + 101718.

Almost surely, 2^72978120 is an apocalyptic number.

It is an amenable number.

72978120 is an abundant number, since it is smaller than the sum of its proper divisors (164201940).

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

72978120 is a wasteful number, since it uses less digits than its factorization.

72978120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202734 (or 202727 counting only the distinct ones).

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

The square root of 72978120 is about 8542.7232192083. The cubic root of 72978120 is about 417.8921602412.

The spelling of 72978120 in words is "seventy-two million, nine hundred seventy-eight thousand, one hundred twenty".