72515589120 has 352 divisors, whose sum is σ = 277537827840. Its totient is φ = 17849548800.

The previous prime is 72515589109. The next prime is 72515589131. The reversal of 72515589120 is 2198551527.

72515589120 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 558 + 91 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72515589109) and next prime (72515589131).

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 31 ways as a sum of consecutive naturals, for example, 1776945 + ... + 1817295.

Almost surely, 2^72515589120 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 72515589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138768913920).

72515589120 is an abundant number, since it is smaller than the sum of its proper divisors (205022238720).

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

72515589120 is a wasteful number, since it uses less digits than its factorization.

72515589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40398 (or 40374 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 72515589120 in words is "seventy-two billion, five hundred fifteen million, five hundred eighty-nine thousand, one hundred twenty".