712712 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 253440.

The previous prime is 712711. The next prime is 712717. The reversal of 712712 is 217217.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (712711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7964 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁷¹²⁷¹² 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 712712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

712712 is an abundant number, since it is smaller than the sum of its proper divisors (1101688).

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

712712 is a wasteful number, since it uses less digits than its factorization.

712712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 196, while the sum is 20.

The square root of 712712 is about 844.2227194289. Note that the first 3 decimals coincide. The cubic root of 712712 is about 89.3246569628.

Adding to 712712 its reverse (217217), we get a palindrome (929929).

The spelling of 712712 in words is "seven hundred twelve thousand, seven hundred twelve", and thus it is an iban number.