712920 has 64 divisors (see below), whose sum is σ = 2308320. Its totient is φ = 175104.

The previous prime is 712913. The next prime is 712927. The reversal of 712920 is 29217.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (712913) and next prime (712927).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 712920.

It is not an unprimeable number, because it can be changed into a prime (712927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 1788.

2⁷¹²⁹²⁰ 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 712920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154160).

712920 is an abundant number, since it is smaller than the sum of its proper divisors (1595400).

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

712920 is a wasteful number, since it uses less digits than its factorization.

712920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 712920 is about 844.3459006829. The cubic root of 712920 is about 89.3333457093. Note that the first 4 decimals are identical.

The spelling of 712920 in words is "seven hundred twelve thousand, nine hundred twenty".