72412872 has 32 divisors (see below), whose sum is σ = 206894400. Its totient is φ = 20689344.

The previous prime is 72412871. The next prime is 72412891. The reversal of 72412872 is 27821427.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72412871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215347 + ... + 215682.

It is an arithmetic number, because the mean of its divisors is an integer number (6465450).

Almost surely, 2^72412872 is an apocalyptic number.

It is an amenable number.

72412872 is an abundant number, since it is smaller than the sum of its proper divisors (134481528).

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

72412872 is a wasteful number, since it uses less digits than its factorization.

72412872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431045 (or 431041 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 72412872 is about 8509.5753125523. The cubic root of 72412872 is about 416.8104424006.

The spelling of 72412872 in words is "seventy-two million, four hundred twelve thousand, eight hundred seventy-two".