717312 has 40 divisors (see below), whose sum is σ = 1915056. Its totient is φ = 238592.

The previous prime is 717293. The next prime is 717317. The reversal of 717312 is 213717.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 717312.

It is not an unprimeable number, because it can be changed into a prime (717317) by changing a digit.

717312 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1303 + ... + 1769.

2⁷¹⁷³¹² 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 717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528).

717312 is an abundant number, since it is smaller than the sum of its proper divisors (1197744).

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

717312 is an equidigital number, since it uses as much as digits as its factorization.

717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 717312 is about 846.9427371434. The cubic root of 717312 is about 89.5164186559.

The spelling of 717312 in words is "seven hundred seventeen thousand, three hundred twelve", and thus it is an iban number.