72367707916800 has 720 divisors, whose sum is σ = 268747277198400. Its totient is φ = 19285754019840.

The previous prime is 72367707916781. The next prime is 72367707916831. The reversal of 72367707916800 is 861970776327.

It is a tau number, because it is divible by the number of its divisors (720).

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, 5545836676 + ... + 5545849724.

It is an arithmetic number, because the mean of its divisors is an integer number (373260107220).

Almost surely, 2^{72367707916800} 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 72367707916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134373638599200).

72367707916800 is an abundant number, since it is smaller than the sum of its proper divisors (196379569281600).

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

72367707916800 is a wasteful number, since it uses less digits than its factorization.

72367707916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875 (or 14842 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 72367707916800 in words is "seventy-two trillion, three hundred sixty-seven billion, seven hundred seven million, nine hundred sixteen thousand, eight hundred".