72888232320 has 320 divisors, whose sum is σ = 262308475440. Its totient is φ = 19286691840.

The previous prime is 72888232297. The next prime is 72888232379. The reversal of 72888232320 is 2323288827.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6785674 + ... + 6796406.

Almost surely, 2^72888232320 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 72888232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131154237720).

72888232320 is an abundant number, since it is smaller than the sum of its proper divisors (189420243120).

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

72888232320 is a wasteful number, since it uses less digits than its factorization.

72888232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 72888232320 in words is "seventy-two billion, eight hundred eighty-eight million, two hundred thirty-two thousand, three hundred twenty".