205072 has 20 divisors (see below), whose sum is σ = 454336. Its totient is φ = 87840.

The previous prime is 205069. The next prime is 205081. The reversal of 205072 is 270502.

It is a happy number.

205072 is nontrivially palindromic in base 6.

205072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 804 + ... + 1027.

2²⁰⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

205072 is an abundant number, since it is smaller than the sum of its proper divisors (249264).

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

205072 is a wasteful number, since it uses less digits than its factorization.

205072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 205072 is about 452.8487606254. The cubic root of 205072 is about 58.9705876573.

Adding to 205072 its reverse (270502), we get a palindrome (475574).

It can be divided in two parts, 20507 and 2, that multiplied together give a palindrome (41014).

The spelling of 205072 in words is "two hundred five thousand, seventy-two".