205372 has 6 divisors (see below), whose sum is σ = 359408. Its totient is φ = 102684.

The previous prime is 205357. The next prime is 205391. The reversal of 205372 is 273502.

It is a happy number.

205372 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

205372 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, 25668 + ... + 25675.

2²⁰⁵³⁷² is an apocalyptic number.

It is an amenable number.

205372 is a deficient number, since it is larger than the sum of its proper divisors (154036).

205372 is a wasteful number, since it uses less digits than its factorization.

205372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51347 (or 51345 counting only the distinct ones).

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

The square root of 205372 is about 453.1798759874. The cubic root of 205372 is about 58.9993296869. Note that the first 3 decimals are identical.

Adding to 205372 its reverse (273502), we get a palindrome (478874).

The spelling of 205372 in words is "two hundred five thousand, three hundred seventy-two".