205732 has 12 divisors (see below), whose sum is σ = 379120. Its totient is φ = 97416.

The previous prime is 205721. The next prime is 205759. The reversal of 205732 is 237502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is an unprimeable number.

205732 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 3 ways as a sum of consecutive naturals, for example, 1278 + ... + 1429.

2²⁰⁵⁷³² is an apocalyptic number.

It is an amenable number.

205732 is a deficient number, since it is larger than the sum of its proper divisors (173388).

205732 is a wasteful number, since it uses less digits than its factorization.

205732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 205732 is about 453.5768953551. The cubic root of 205732 is about 59.0337831993.

The spelling of 205732 in words is "two hundred five thousand, seven hundred thirty-two".