72412080 has 80 divisors (see below), whose sum is σ = 241755360. Its totient is φ = 17823744.

The previous prime is 72412069. The next prime is 72412099. The reversal of 72412080 is 8021427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72412080.

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, 8485 + ... + 14724.

It is an arithmetic number, because the mean of its divisors is an integer number (3021942).

Almost surely, 2^72412080 is an apocalyptic number.

It is an amenable number.

72412080 is an abundant number, since it is smaller than the sum of its proper divisors (169343280).

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

72412080 is a wasteful number, since it uses less digits than its factorization.

72412080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23238 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72412080 is about 8509.5287766127. The cubic root of 72412080 is about 416.8089228039.

The spelling of 72412080 in words is "seventy-two million, four hundred twelve thousand, eighty".