72186540 has 48 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 19145920.

The previous prime is 72186523. The next prime is 72186553. The reversal of 72186540 is 4568127.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8311 + ... + 14609.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^72186540 is an apocalyptic number.

It is an amenable number.

72186540 is an abundant number, since it is smaller than the sum of its proper divisors (131026260).

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

72186540 is a wasteful number, since it uses less digits than its factorization.

72186540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6500 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72186540 is about 8496.2662387663. The cubic root of 72186540 is about 416.3757314812.

The spelling of 72186540 in words is "seventy-two million, one hundred eighty-six thousand, five hundred forty".