585272 has 16 divisors (see below), whose sum is σ = 1107000. Its totient is φ = 290080.

The previous prime is 585271. The next prime is 585283. The reversal of 585272 is 272585.

585272 = T₃ + T₄ + ... + T₁₅₁.

585272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

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 (585271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 947 + ... + 1437.

2⁵⁸⁵²⁷² is an apocalyptic number.

It is an amenable number.

585272 is a deficient number, since it is larger than the sum of its proper divisors (521728).

585272 is a wasteful number, since it uses less digits than its factorization.

585272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 585272 is about 765.0307183375. The cubic root of 585272 is about 83.6474262161.

The spelling of 585272 in words is "five hundred eighty-five thousand, two hundred seventy-two".