72608984008512 has 224 divisors, whose sum is σ = 221613320755200. Its totient is φ = 20551081162752.

The previous prime is 72608984008499. The next prime is 72608984008541. The reversal of 72608984008512 is 21580048980627.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 793816093 + ... + 793907555.

Almost surely, 2^{72608984008512} 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 72608984008512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110806660377600).

72608984008512 is an abundant number, since it is smaller than the sum of its proper divisors (149004336746688).

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

72608984008512 is a wasteful number, since it uses less digits than its factorization.

72608984008512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97013 (or 97003 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 72608984008512 in words is "seventy-two trillion, six hundred eight billion, nine hundred eighty-four million, eight thousand, five hundred twelve".