72740164 has 24 divisors (see below), whose sum is σ = 145756800. Its totient is φ = 31115136.

The previous prime is 72740159. The next prime is 72740179. The reversal of 72740164 is 46104727.

It is a super-3 number, since 3×72740164³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14604 + ... + 18940.

It is an arithmetic number, because the mean of its divisors is an integer number (6073200).

Almost surely, 2^72740164 is an apocalyptic number.

It is an amenable number.

72740164 is an abundant number, since it is smaller than the sum of its proper divisors (73016636).

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

72740164 is a wasteful number, since it uses less digits than its factorization.

72740164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 72740164 is about 8528.7844385938. The cubic root of 72740164 is about 417.4374658631.

The spelling of 72740164 in words is "seventy-two million, seven hundred forty thousand, one hundred sixty-four".