72626877862627 has 32 divisors (see below), whose sum is σ = 80965374787584. Its totient is φ = 64591513668000.

The previous prime is 72626877862621. The next prime is 72626877862661.

72626877862627 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-72626877862627 is a prime.

It is a super-2 number, since 2×72626877862627² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72626877862621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439167118 + ... + 439332460.

It is an arithmetic number, because the mean of its divisors is an integer number (2530167962112).

Almost surely, 2^{72626877862627} is an apocalyptic number.

72626877862627 is a deficient number, since it is larger than the sum of its proper divisors (8338496924957).

72626877862627 is a wasteful number, since it uses less digits than its factorization.

72626877862627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169519.

The product of its digits is 3186376704, while the sum is 76.

The spelling of 72626877862627 in words is "seventy-two trillion, six hundred twenty-six billion, eight hundred seventy-seven million, eight hundred sixty-two thousand, six hundred twenty-seven".