205572 has 24 divisors (see below), whose sum is σ = 493696. Its totient is φ = 66528.

The previous prime is 205559. The next prime is 205589. The reversal of 205572 is 275502.

It is an unprimeable number.

205572 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 7 ways as a sum of consecutive naturals, for example, 213 + ... + 675.

2²⁰⁵⁵⁷² is an apocalyptic number.

It is an amenable number.

205572 is an abundant number, since it is smaller than the sum of its proper divisors (288124).

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

205572 is a wasteful number, since it uses less digits than its factorization.

205572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 205572 is about 453.4004852225. The cubic root of 205572 is about 59.0184754932.

It can be divided in two parts, 20557 and 2, that multiplied together give a palindrome (41114).

The spelling of 205572 in words is "two hundred five thousand, five hundred seventy-two".