72359586431 has 24 divisors (see below), whose sum is σ = 79843602720. Its totient is φ = 65527418880.

The previous prime is 72359586373. The next prime is 72359586433. The reversal of 72359586431 is 13468595327.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-72359586431 is a prime.

It is a super-2 number, since 2×72359586431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72359586433) 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 23 ways as a sum of consecutive naturals, for example, 59456735 + ... + 59457951.

It is an arithmetic number, because the mean of its divisors is an integer number (3326816780).

Almost surely, 2^72359586431 is an apocalyptic number.

72359586431 is a deficient number, since it is larger than the sum of its proper divisors (7484016289).

72359586431 is a wasteful number, since it uses less digits than its factorization.

72359586431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2724 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The spelling of 72359586431 in words is "seventy-two billion, three hundred fifty-nine million, five hundred eighty-six thousand, four hundred thirty-one".