72117563432 has 64 divisors (see below), whose sum is σ = 141645127680. Its totient is φ = 34385824512.

The previous prime is 72117563429. The next prime is 72117563443. The reversal of 72117563432 is 23436571127.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72117563432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20125913 + ... + 20129495.

It is an arithmetic number, because the mean of its divisors is an integer number (2213205120).

Almost surely, 2^72117563432 is an apocalyptic number.

It is an amenable number.

72117563432 is a deficient number, since it is larger than the sum of its proper divisors (69527564248).

72117563432 is a wasteful number, since it uses less digits than its factorization.

72117563432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4958 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The spelling of 72117563432 in words is "seventy-two billion, one hundred seventeen million, five hundred sixty-three thousand, four hundred thirty-two".