72504959331728 has 80 divisors (see below), whose sum is σ = 178110355921920. Its totient is φ = 27769894147200.

The previous prime is 72504959331653. The next prime is 72504959331751. The reversal of 72504959331728 is 82713395940527.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498668228 + ... + 498813603.

It is an arithmetic number, because the mean of its divisors is an integer number (2226379449024).

Almost surely, 2^{72504959331728} is an apocalyptic number.

It is an amenable number.

72504959331728 is an abundant number, since it is smaller than the sum of its proper divisors (105605396590192).

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

72504959331728 is a wasteful number, since it uses less digits than its factorization.

72504959331728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997481916 (or 997481910 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 65.

The spelling of 72504959331728 in words is "seventy-two trillion, five hundred four billion, nine hundred fifty-nine million, three hundred thirty-one thousand, seven hundred twenty-eight".