712772 has 12 divisors (see below), whose sum is σ = 1264956. Its totient is φ = 351360.

The previous prime is 712739. The next prime is 712781. The reversal of 712772 is 277217.

It can be written as a sum of positive squares in 2 ways, for example, as 217156 + 495616 = 466^2 + 704^2 .

It is an unprimeable number.

712772 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, 929 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (105413).

2⁷¹²⁷⁷² is an apocalyptic number.

It is an amenable number.

712772 is a deficient number, since it is larger than the sum of its proper divisors (552184).

712772 is a wasteful number, since it uses less digits than its factorization.

712772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2516 counting only the distinct ones).

The product of its digits is 1372, while the sum is 26.

The square root of 712772 is about 844.2582543274. The cubic root of 712772 is about 89.3271635055.

Adding to 712772 its reverse (277217), we get a palindrome (989989).

The spelling of 712772 in words is "seven hundred twelve thousand, seven hundred seventy-two", and thus it is an iban number.