72412880 has 20 divisors (see below), whose sum is σ = 168360132. Its totient is φ = 28965120.

The previous prime is 72412871. The next prime is 72412891. The reversal of 72412880 is 8821427.

It can be written as a sum of positive squares in 2 ways, for example, as 23580736 + 48832144 = 4856^2 + 6988^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452501 + ... + 452660.

Almost surely, 2^72412880 is an apocalyptic number.

It is an amenable number.

72412880 is an abundant number, since it is smaller than the sum of its proper divisors (95947252).

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

72412880 is a wasteful number, since it uses less digits than its factorization.

72412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905174 (or 905168 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 72412880 is about 8509.5757826110. The cubic root of 72412880 is about 416.8104577500.

The spelling of 72412880 in words is "seventy-two million, four hundred twelve thousand, eight hundred eighty".