205872 has 20 divisors (see below), whose sum is σ = 531960. Its totient is φ = 68608.

The previous prime is 205847. The next prime is 205879. The reversal of 205872 is 278502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205872.

It is not an unprimeable number, because it can be changed into a prime (205879) 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, 2097 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (26598).

2²⁰⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

205872 is an abundant number, since it is smaller than the sum of its proper divisors (326088).

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

205872 is a wasteful number, since it uses less digits than its factorization.

205872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 205872 is about 453.7311979576. The cubic root of 205872 is about 59.0471709330.

The spelling of 205872 in words is "two hundred five thousand, eight hundred seventy-two".