726712 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 294624.

The previous prime is 726707. The next prime is 726751. The reversal of 726712 is 217627.

726712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×726712² = 1056220661888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 1405.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2⁷²⁶⁷¹² 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 726712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

726712 is an abundant number, since it is smaller than the sum of its proper divisors (914888).

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

726712 is a wasteful number, since it uses less digits than its factorization.

726712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 711 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 726712 is about 852.4740465258. The cubic root of 726712 is about 89.9057449446.

The spelling of 726712 in words is "seven hundred twenty-six thousand, seven hundred twelve".