205272 has 24 divisors (see below), whose sum is σ = 556140. Its totient is φ = 68400.

The previous prime is 205267. The next prime is 205297. The reversal of 205272 is 272502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

205272 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, 1354 + ... + 1497.

2²⁰⁵²⁷² is an apocalyptic number.

It is an amenable number.

205272 is an abundant number, since it is smaller than the sum of its proper divisors (350868).

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

205272 is a wasteful number, since it uses less digits than its factorization.

205272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205272 is about 453.0695310877. The cubic root of 205272 is about 58.9897521223.

Adding to 205272 its reverse (272502), we get a palindrome (477774).

The spelling of 205272 in words is "two hundred five thousand, two hundred seventy-two".