712992 has 48 divisors (see below), whose sum is σ = 2140992. Its totient is φ = 203520.

The previous prime is 712981. The next prime is 713021. The reversal of 712992 is 299217.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (44604).

2⁷¹²⁹⁹² 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 712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070496).

712992 is an abundant number, since it is smaller than the sum of its proper divisors (1428000).

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

712992 is a wasteful number, since it uses less digits than its factorization.

712992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1073 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 712992 is about 844.3885361609. The cubic root of 712992 is about 89.3363529585.

The spelling of 712992 in words is "seven hundred twelve thousand, nine hundred ninety-two".