712264 has 48 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 288288.

The previous prime is 712237. The next prime is 712279. The reversal of 712264 is 462217.

712264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

712264 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 11 ways as a sum of consecutive naturals, for example, 8977 + ... + 9055.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁷¹²²⁶⁴ 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 712264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

712264 is an abundant number, since it is smaller than the sum of its proper divisors (929336).

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

712264 is a wasteful number, since it uses less digits than its factorization.

712264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 712264 is about 843.9573448937. The cubic root of 712264 is about 89.3059369965.

Subtracting from 712264 its reverse (462217), we obtain a cube (250047 = 63³).

The spelling of 712264 in words is "seven hundred twelve thousand, two hundred sixty-four".