72338842934400 has 576 divisors, whose sum is σ = 281371681506240. Its totient is φ = 16001204428800.

The previous prime is 72338842934387. The next prime is 72338842934411. The reversal of 72338842934400 is 443924883327.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64019122 + ... + 65139278.

It is an arithmetic number, because the mean of its divisors is an integer number (488492502615).

Almost surely, 2^{72338842934400} is an apocalyptic number.

72338842934400 is a gapful number since it is divisible by the number (70) 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 72338842934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140685840753120).

72338842934400 is an abundant number, since it is smaller than the sum of its proper divisors (209032838571840).

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

72338842934400 is a wasteful number, since it uses less digits than its factorization.

72338842934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120253 (or 1120205 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 72338842934400 in words is "seventy-two trillion, three hundred thirty-eight billion, eight hundred forty-two million, nine hundred thirty-four thousand, four hundred".