72416175722721 has 32 divisors (see below), whose sum is σ = 113647813171200. Its totient is φ = 45416075639040.

The previous prime is 72416175722713. The next prime is 72416175722747. The reversal of 72416175722721 is 12722757161427.

72416175722721 is a `hidden beast` number, since 7 + 2 + 4 + 1 + 61 + 7 + 572 + 2 + 7 + 2 + 1 = 666.

It is not a de Polignac number, because 72416175722721 - 2³ = 72416175722713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72416175722771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36399466 + ... + 38337363.

It is an arithmetic number, because the mean of its divisors is an integer number (3551494161600).

Almost surely, 2^{72416175722721} is an apocalyptic number.

It is an amenable number.

72416175722721 is a deficient number, since it is larger than the sum of its proper divisors (41231637448479).

72416175722721 is a wasteful number, since it uses less digits than its factorization.

72416175722721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74738966 (or 74738960 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The spelling of 72416175722721 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-five million, seven hundred twenty-two thousand, seven hundred twenty-one".