712956 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 217152.

The previous prime is 712951. The next prime is 712961. The reversal of 712956 is 659217.

It is an interprime number because it is at equal distance from previous prime (712951) and next prime (712961).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712951) by changing a digit.

712956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12055 + ... + 12113.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁷¹²⁹⁵⁶ is an apocalyptic number.

712956 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

712956 is an abundant number, since it is smaller than the sum of its proper divisors (1101444).

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

712956 is a wasteful number, since it uses less digits than its factorization.

712956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 712956 is about 844.3672186910. The cubic root of 712956 is about 89.3348493592.

The spelling of 712956 in words is "seven hundred twelve thousand, nine hundred fifty-six".