712912 has 20 divisors (see below), whose sum is σ = 1463076. Its totient is φ = 335360.

The previous prime is 712909. The next prime is 712913. The reversal of 712912 is 219217.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 141376 = 756^2 + 376^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1039 + ... + 1582.

2⁷¹²⁹¹² is an apocalyptic number.

It is an amenable number.

712912 is an abundant number, since it is smaller than the sum of its proper divisors (750164).

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

712912 is a wasteful number, since it uses less digits than its factorization.

712912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 712912 is about 844.3411632747. The cubic root of 712912 is about 89.3330115580. Note that the first 3 decimals are identical.

The spelling of 712912 in words is "seven hundred twelve thousand, nine hundred twelve".