72415465584 has 160 divisors (see below), whose sum is σ = 233450248704. Its totient is φ = 18791792640.

The previous prime is 72415465583. The next prime is 72415465621. The reversal of 72415465584 is 48556451427.

It is a super-2 number, since 2×72415465584² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72415465583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4252992 + ... + 4269984.

Almost surely, 2^72415465584 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 72415465584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116725124352).

72415465584 is an abundant number, since it is smaller than the sum of its proper divisors (161034783120).

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

72415465584 is a wasteful number, since it uses less digits than its factorization.

72415465584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18175 (or 18169 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 51.

The spelling of 72415465584 in words is "seventy-two billion, four hundred fifteen million, four hundred sixty-five thousand, five hundred eighty-four".