72259517631 has 16 divisors (see below), whose sum is σ = 110195072768. Its totient is φ = 41259153600.

The previous prime is 72259517623. The next prime is 72259517647. The reversal of 72259517631 is 13671595227.

It is not a de Polignac number, because 72259517631 - 2³ = 72259517623 is a prime.

It is a super-2 number, since 2×72259517631² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72259517651) 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, 1305550 + ... + 1359771.

It is an arithmetic number, because the mean of its divisors is an integer number (6887192048).

Almost surely, 2^72259517631 is an apocalyptic number.

72259517631 is a deficient number, since it is larger than the sum of its proper divisors (37935555137).

72259517631 is a wasteful number, since it uses less digits than its factorization.

72259517631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666622.

The product of its digits is 793800, while the sum is 48.

The spelling of 72259517631 in words is "seventy-two billion, two hundred fifty-nine million, five hundred seventeen thousand, six hundred thirty-one".