72332458968 has 384 divisors, whose sum is σ = 238045132800. Its totient is φ = 18092390400.

The previous prime is 72332458963. The next prime is 72332459009. The reversal of 72332458968 is 86985423327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72332458963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127121788 + ... + 127122356.

It is an arithmetic number, because the mean of its divisors is an integer number (619909200).

Almost surely, 2^72332458968 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 72332458968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119022566400).

72332458968 is an abundant number, since it is smaller than the sum of its proper divisors (165712673832).

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

72332458968 is a wasteful number, since it uses less digits than its factorization.

72332458968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 72332458968 in words is "seventy-two billion, three hundred thirty-two million, four hundred fifty-eight thousand, nine hundred sixty-eight".