712968 has 32 divisors (see below), whose sum is σ = 1815360. Its totient is φ = 233280.

The previous prime is 712967. The next prime is 712973. The reversal of 712968 is 869217.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (712961) by changing a digit.

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, 1221 + ... + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (56730).

2⁷¹²⁹⁶⁸ 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 712968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907680).

712968 is an abundant number, since it is smaller than the sum of its proper divisors (1102392).

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

712968 is a wasteful number, since it uses less digits than its factorization.

712968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 712968 is about 844.3743245741. The cubic root of 712968 is about 89.3353505646.

The spelling of 712968 in words is "seven hundred twelve thousand, nine hundred sixty-eight".