712656 has 90 divisors (see below), whose sum is σ = 2343042. Its totient is φ = 201600.

The previous prime is 712651. The next prime is 712669. The reversal of 712656 is 656217.

712656 is a `hidden beast` number, since 7 + 1 + 2 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 7056 = 840^2 + 84^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712651) by changing a digit.

712656 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 17 ways as a sum of consecutive naturals, for example, 7006 + ... + 7106.

2⁷¹²⁶⁵⁶ 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 712656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171521).

712656 is an abundant number, since it is smaller than the sum of its proper divisors (1630386).

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

712656 is a wasteful number, since it uses less digits than its factorization.

712656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 712656 is about 844.1895521742. The cubic root of 712656 is about 89.3223173961.

The spelling of 712656 in words is "seven hundred twelve thousand, six hundred fifty-six".