72057916167 has 32 divisors (see below), whose sum is σ = 104208768000. Its totient is φ = 44121811968.

The previous prime is 72057916163. The next prime is 72057916169. The reversal of 72057916167 is 76161975027.

It is a happy number.

It is not a de Polignac number, because 72057916167 - 2² = 72057916163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72057916163) 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, 324834 + ... + 499632.

It is an arithmetic number, because the mean of its divisors is an integer number (3256524000).

Almost surely, 2^72057916167 is an apocalyptic number.

72057916167 is a deficient number, since it is larger than the sum of its proper divisors (32150851833).

72057916167 is a wasteful number, since it uses less digits than its factorization.

72057916167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175015.

The product of its (nonzero) digits is 1111320, while the sum is 51.

The spelling of 72057916167 in words is "seventy-two billion, fifty-seven million, nine hundred sixteen thousand, one hundred sixty-seven".