72624633642627 has 16 divisors (see below), whose sum is σ = 105689975301120. Its totient is φ = 43992369252000.

The previous prime is 72624633642623. The next prime is 72624633642647.

72624633642627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72624633642627 - 2² = 72624633642623 is a prime.

It is a super-2 number, since 2×72624633642627² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72624633642623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563940352 + ... + 564069117.

It is an arithmetic number, because the mean of its divisors is an integer number (6605623456320).

Almost surely, 2^{72624633642627} is an apocalyptic number.

72624633642627 is a deficient number, since it is larger than the sum of its proper divisors (33065341658493).

72624633642627 is a wasteful number, since it uses less digits than its factorization.

72624633642627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128011434.

The product of its digits is 146313216, while the sum is 60.

The spelling of 72624633642627 in words is "seventy-two trillion, six hundred twenty-four billion, six hundred thirty-three million, six hundred forty-two thousand, six hundred twenty-seven".