712768 has 56 divisors (see below), whose sum is σ = 1698752. Its totient is φ = 290304.

The previous prime is 712739. The next prime is 712781. The reversal of 712768 is 867217.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is an unprimeable number.

712768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16555 + ... + 16597.

2⁷¹²⁷⁶⁸ 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 712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849376).

712768 is an abundant number, since it is smaller than the sum of its proper divisors (985984).

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

712768 is a wasteful number, since it uses less digits than its factorization.

712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 712768 is about 844.2558853807. The cubic root of 712768 is about 89.3269964070.

Subtracting 712768 from its reverse (867217), we obtain a square (154449 = 393²).

The spelling of 712768 in words is "seven hundred twelve thousand, seven hundred sixty-eight".