72538940544 has 256 divisors, whose sum is σ = 239279923200. Its totient is φ = 19000811520.

The previous prime is 72538940521. The next prime is 72538940597. The reversal of 72538940544 is 44504983527.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1560324 + ... + 1606140.

It is an arithmetic number, because the mean of its divisors is an integer number (934687200).

Almost surely, 2^72538940544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72538940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119639961600).

72538940544 is an abundant number, since it is smaller than the sum of its proper divisors (166740982656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72538940544 is a wasteful number, since it uses less digits than its factorization.

72538940544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45891 (or 45879 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 72538940544 in words is "seventy-two billion, five hundred thirty-eight million, nine hundred forty thousand, five hundred forty-four".