72975856128 has 320 divisors, whose sum is σ = 230938076160. Its totient is φ = 20035878912.

The previous prime is 72975856111. The next prime is 72975856139. The reversal of 72975856128 is 82165857927.

It is a super-2 number, since 2×72975856128² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88241251 + ... + 88242077.

It is an arithmetic number, because the mean of its divisors is an integer number (721681488).

Almost surely, 2^72975856128 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 72975856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115469038080).

72975856128 is an abundant number, since it is smaller than the sum of its proper divisors (157962220032).

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

72975856128 is a wasteful number, since it uses less digits than its factorization.

72975856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 60.

The spelling of 72975856128 in words is "seventy-two billion, nine hundred seventy-five million, eight hundred fifty-six thousand, one hundred twenty-eight".