72656622665627 has 96 divisors (see below), whose sum is σ = 105048514712064. Its totient is φ = 48512560435200.

The previous prime is 72656622665623. The next prime is 72656622665647.

72656622665627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72656622665627 - 2² = 72656622665623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72656622665623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19397852 + ... + 22838342.

It is an arithmetic number, because the mean of its divisors is an integer number (1094255361584).

Almost surely, 2^{72656622665627} is an apocalyptic number.

72656622665627 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72656622665627 is a deficient number, since it is larger than the sum of its proper divisors (32391892046437).

72656622665627 is a wasteful number, since it uses less digits than its factorization.

72656622665627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440629 (or 3440612 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 68.

The spelling of 72656622665627 in words is "seventy-two trillion, six hundred fifty-six billion, six hundred twenty-two million, six hundred sixty-five thousand, six hundred twenty-seven".