726656 has 32 divisors (see below), whose sum is σ = 1656480. Its totient is φ = 311040.

The previous prime is 726647. The next prime is 726659. The reversal of 726656 is 656627.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (726659) by changing a digit.

726656 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, 491 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (51765).

2⁷²⁶⁶⁵⁶ 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 726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828240).

726656 is an abundant number, since it is smaller than the sum of its proper divisors (929824).

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

726656 is an equidigital number, since it uses as much as digits as its factorization.

726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 726656 is about 852.4412003182. The cubic root of 726656 is about 89.9034355239.

The spelling of 726656 in words is "seven hundred twenty-six thousand, six hundred fifty-six".