205472 has 12 divisors (see below), whose sum is σ = 404586. Its totient is φ = 102720.

The previous prime is 205463. The next prime is 205477. The reversal of 205472 is 274502.

205472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 190096 + 15376 = 436^2 + 124^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205472.

It is not an unprimeable number, because it can be changed into a prime (205477) by changing a digit.

205472 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 as a sum of consecutive naturals, namely, 3179 + ... + 3242.

2²⁰⁵⁴⁷² is an apocalyptic number.

It is an amenable number.

205472 is a deficient number, since it is larger than the sum of its proper divisors (199114).

205472 is an equidigital number, since it uses as much as digits as its factorization.

205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 205472 is about 453.2901940259. The cubic root of 205472 is about 59.0089041431.

Adding to 205472 its reverse (274502), we get a palindrome (479974).

The spelling of 205472 in words is "two hundred five thousand, four hundred seventy-two".