72313768800 has 648 divisors, whose sum is σ = 319466334096. Its totient is φ = 15256442880.

The previous prime is 72313768783. The next prime is 72313768801. The reversal of 72313768800 is 886731327.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313768801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4578517 + ... + 4594283.

It is an arithmetic number, because the mean of its divisors is an integer number (493003602).

Almost surely, 2^72313768800 is an apocalyptic number.

72313768800 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 72313768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159733167048).

72313768800 is an abundant number, since it is smaller than the sum of its proper divisors (247152565296).

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

72313768800 is a wasteful number, since it uses less digits than its factorization.

72313768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72313768800 in words is "seventy-two billion, three hundred thirteen million, seven hundred sixty-eight thousand, eight hundred".