72888575760 has 1600 divisors, whose sum is σ = 360435930624. Its totient is φ = 13138329600.

The previous prime is 72888575741. The next prime is 72888575831. The reversal of 72888575760 is 6757588827.

72888575760 is a `hidden beast` number, since 7 + 2 + 8 + 8 + 8 + 57 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110269830 + ... + 110270490.

Almost surely, 2^72888575760 is an apocalyptic number.

72888575760 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 72888575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180217965312).

72888575760 is an abundant number, since it is smaller than the sum of its proper divisors (287547354864).

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

72888575760 is a wasteful number, since it uses less digits than its factorization.

72888575760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 72888575760 in words is "seventy-two billion, eight hundred eighty-eight million, five hundred seventy-five thousand, seven hundred sixty".