72112460580 has 72 divisors (see below), whose sum is σ = 218772099000. Its totient is φ = 19227267072.

The previous prime is 72112460573. The next prime is 72112460593. The reversal of 72112460580 is 8506421127.

72112460580 is a `hidden beast` number, since 7 + 2 + 1 + 12 + 4 + 60 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46469562624 + 25642897956 = 215568^2 + 160134^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464196 + ... + 1512644.

It is an arithmetic number, because the mean of its divisors is an integer number (3038501375).

Almost surely, 2^72112460580 is an apocalyptic number.

It is an amenable number.

72112460580 is an abundant number, since it is smaller than the sum of its proper divisors (146659638420).

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

72112460580 is a wasteful number, since it uses less digits than its factorization.

72112460580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56733 (or 56728 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 72112460580 in words is "seventy-two billion, one hundred twelve million, four hundred sixty thousand, five hundred eighty".