585372 has 12 divisors (see below), whose sum is σ = 1365896. Its totient is φ = 195120.

The previous prime is 585367. The next prime is 585383. The reversal of 585372 is 273585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 5² + 8³ + 3¹¹ + 5⁸ + 7⁵ + 2⁸ .

It is a congruent number.

It is an unprimeable number.

585372 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24379 + ... + 24402.

2⁵⁸⁵³⁷² is an apocalyptic number.

It is an amenable number.

585372 is an abundant number, since it is smaller than the sum of its proper divisors (780524).

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

585372 is a wasteful number, since it uses less digits than its factorization.

585372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48788 (or 48786 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 585372 is about 765.0960723988. The cubic root of 585372 is about 83.6521899649.

The spelling of 585372 in words is "five hundred eighty-five thousand, three hundred seventy-two".