72684 has 24 divisors (see below), whose sum is σ = 188720. Its totient is φ = 24192.

The previous prime is 72679. The next prime is 72689. The reversal of 72684 is 48627.

It is an interprime number because it is at equal distance from previous prime (72679) and next prime (72689).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 444.

2⁷²⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

72684 is an abundant number, since it is smaller than the sum of its proper divisors (116036).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360).

72684 is a wasteful number, since it uses less digits than its factorization.

72684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72684 is about 269.5997032639. The cubic root of 72684 is about 41.7330001187.

Subtracting from 72684 its product of digits (2688), we obtain a palindrome (69996).

The spelling of 72684 in words is "seventy-two thousand, six hundred eighty-four".