72684160 has 48 divisors (see below), whose sum is σ = 174277710. Its totient is φ = 28987392.

The previous prime is 72684151. The next prime is 72684167. The reversal of 72684160 is 6148627.

It can be written as a sum of positive squares in 3 ways, for example, as 42302016 + 30382144 = 6504^2 + 5512^2 .

It is a super-2 number, since 2×72684160² = 10565974229811200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72684167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215512 + ... + 215848.

Almost surely, 2^72684160 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 72684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87138855).

72684160 is an abundant number, since it is smaller than the sum of its proper divisors (101593550).

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

72684160 is an frugal number, since it uses more digits than its factorization.

72684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72684160 is about 8525.5005718140. The cubic root of 72684160 is about 417.3303074109.

The spelling of 72684160 in words is "seventy-two million, six hundred eighty-four thousand, one hundred sixty".