726585 has 16 divisors (see below), whose sum is σ = 1183680. Its totient is φ = 380480.

The previous prime is 726559. The next prime is 726589. The reversal of 726585 is 585627.

It is a happy number.

726585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 726585 - 2⁶ = 726521 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726585.

It is not an unprimeable number, because it can be changed into a prime (726589) 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, 475 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (73980).

2⁷²⁶⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

726585 is a deficient number, since it is larger than the sum of its proper divisors (457095).

726585 is a wasteful number, since it uses less digits than its factorization.

726585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its digits is 16800, while the sum is 33.

The square root of 726585 is about 852.3995541998. The cubic root of 726585 is about 89.9005073379.

The spelling of 726585 in words is "seven hundred twenty-six thousand, five hundred eighty-five".