72588422160 has 400 divisors, whose sum is σ = 265264718400. Its totient is φ = 18369856512.

The previous prime is 72588422087. The next prime is 72588422167. The reversal of 72588422160 is 6122488527.

72588422160 is a `hidden beast` number, since 7 + 2 + 588 + 4 + 2 + 2 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72588422167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11084007 + ... + 11090553.

It is an arithmetic number, because the mean of its divisors is an integer number (663161796).

Almost surely, 2^72588422160 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 72588422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632359200).

72588422160 is an abundant number, since it is smaller than the sum of its proper divisors (192676296240).

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

72588422160 is a wasteful number, since it uses less digits than its factorization.

72588422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72588422160 in words is "seventy-two billion, five hundred eighty-eight million, four hundred twenty-two thousand, one hundred sixty".