72589767360 has 448 divisors, whose sum is σ = 257237544960. Its totient is φ = 17194577920.

The previous prime is 72589767359. The next prime is 72589767391. The reversal of 72589767360 is 6376798527.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 72589767294 and 72589767303.

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 63 ways as a sum of consecutive naturals, for example, 163859299 + ... + 163859741.

Almost surely, 2^72589767360 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 72589767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128618772480).

72589767360 is an abundant number, since it is smaller than the sum of its proper divisors (184647777600).

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

72589767360 is a wasteful number, since it uses less digits than its factorization.

72589767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 72589767360 in words is "seventy-two billion, five hundred eighty-nine million, seven hundred sixty-seven thousand, three hundred sixty".