72586588520 has 16 divisors (see below), whose sum is σ = 163319824260. Its totient is φ = 29034635392.

The previous prime is 72586588433. The next prime is 72586588523. The reversal of 72586588520 is 2588568527.

It can be written as a sum of positive squares in 2 ways, for example, as 71563740196 + 1022848324 = 267514^2 + 31982^2 .

It is not an unprimeable number, because it can be changed into a prime (72586588523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 907332317 + ... + 907332396.

Almost surely, 2^72586588520 is an apocalyptic number.

It is an amenable number.

72586588520 is an abundant number, since it is smaller than the sum of its proper divisors (90733235740).

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

72586588520 is a wasteful number, since it uses less digits than its factorization.

72586588520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814664724 (or 1814664720 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 56.

The spelling of 72586588520 in words is "seventy-two billion, five hundred eighty-six million, five hundred eighty-eight thousand, five hundred twenty".