72928296238224 has 320 divisors, whose sum is σ = 225510992150528. Its totient is φ = 19869857280000.

The previous prime is 72928296238163. The next prime is 72928296238241. The reversal of 72928296238224 is 42283269282927.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831038349 + ... + 831126099.

Almost surely, 2^{72928296238224} 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 72928296238224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112755496075264).

72928296238224 is an abundant number, since it is smaller than the sum of its proper divisors (152582695912304).

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

72928296238224 is a wasteful number, since it uses less digits than its factorization.

72928296238224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88966 (or 88960 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 66.

The spelling of 72928296238224 in words is "seventy-two trillion, nine hundred twenty-eight billion, two hundred ninety-six million, two hundred thirty-eight thousand, two hundred twenty-four".