72636663627 has 64 divisors (see below), whose sum is σ = 121110097920. Its totient is φ = 42638918400.

The previous prime is 72636663601. The next prime is 72636663637.

72636663627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72636663627 - 2²² = 72632469323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72636663637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435727 + ... + 2465367.

It is an arithmetic number, because the mean of its divisors is an integer number (1892345280).

Almost surely, 2^72636663627 is an apocalyptic number.

72636663627 is a deficient number, since it is larger than the sum of its proper divisors (48473434293).

72636663627 is a wasteful number, since it uses less digits than its factorization.

72636663627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29921 (or 29915 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 54.

The spelling of 72636663627 in words is "seventy-two billion, six hundred thirty-six million, six hundred sixty-three thousand, six hundred twenty-seven".