72814737139200 has 1440 divisors, whose sum is σ = 309276947865600. Its totient is φ = 16007006453760.

The previous prime is 72814737139159. The next prime is 72814737139213. The reversal of 72814737139200 is 293173741827.

72814737139200 is a `hidden beast` number, since 7 + 2 + 81 + 473 + 7 + 1 + 3 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6150406881 + ... + 6150418719.

It is an arithmetic number, because the mean of its divisors is an integer number (214775658240).

Almost surely, 2^{72814737139200} is an apocalyptic number.

72814737139200 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 72814737139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154638473932800).

72814737139200 is an abundant number, since it is smaller than the sum of its proper divisors (236462210726400).

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

72814737139200 is a wasteful number, since it uses less digits than its factorization.

72814737139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 72814737139200 in words is "seventy-two trillion, eight hundred fourteen billion, seven hundred thirty-seven million, one hundred thirty-nine thousand, two hundred".