72656 has 20 divisors (see below), whose sum is σ = 148800. Its totient is φ = 34272.

The previous prime is 72649. The next prime is 72661. The reversal of 72656 is 65627.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

72656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2⁷²⁶⁵⁶ is an apocalyptic number.

72656 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

72656 is an abundant number, since it is smaller than the sum of its proper divisors (76144).

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

72656 is a wasteful number, since it uses less digits than its factorization.

72656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 72656 is about 269.5477694213. The cubic root of 72656 is about 41.7276405068.

The spelling of 72656 in words is "seventy-two thousand, six hundred fifty-six".