726588 has 18 divisors (see below), whose sum is σ = 1836744. Its totient is φ = 242184.

The previous prime is 726559. The next prime is 726589. The reversal of 726588 is 885627.

726588 is a `hidden beast` number, since 72 + 6 + 588 = 666.

726588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20183 = 726588 / (7 + 2 + 6 + 5 + 8 + 8).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726589) by changing a digit.

726588 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 5 ways as a sum of consecutive naturals, for example, 10056 + ... + 10127.

2⁷²⁶⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

726588 is an abundant number, since it is smaller than the sum of its proper divisors (1110156).

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

726588 is a wasteful number, since it uses less digits than its factorization.

726588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20193 (or 20188 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 726588 is about 852.4013139361. The cubic root of 726588 is about 89.9006310680.

The spelling of 726588 in words is "seven hundred twenty-six thousand, five hundred eighty-eight".