72402115968 has 384 divisors, whose sum is σ = 264707788800. Its totient is φ = 18478264320.

The previous prime is 72402115943. The next prime is 72402115987. The reversal of 72402115968 is 86951120427.

72402115968 is a `hidden beast` number, since 7 + 2 + 40 + 2 + 11 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3238653 + ... + 3260931.

It is an arithmetic number, because the mean of its divisors is an integer number (689343200).

Almost surely, 2^72402115968 is an apocalyptic number.

72402115968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72402115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132353894400).

72402115968 is an abundant number, since it is smaller than the sum of its proper divisors (192305672832).

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

72402115968 is a wasteful number, since it uses less digits than its factorization.

72402115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22335 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 72402115968 in words is "seventy-two billion, four hundred two million, one hundred fifteen thousand, nine hundred sixty-eight".