205752 has 16 divisors (see below), whose sum is σ = 514440. Its totient is φ = 68576.

The previous prime is 205721. The next prime is 205759. The reversal of 205752 is 257502.

205752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205759) by changing a digit.

205752 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 3 ways as a sum of consecutive naturals, for example, 4263 + ... + 4310.

2²⁰⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

205752 is an abundant number, since it is smaller than the sum of its proper divisors (308688).

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

205752 is a wasteful number, since it uses less digits than its factorization.

205752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 205752 is about 453.5989417977. The cubic root of 205752 is about 59.0356961045.

The spelling of 205752 in words is "two hundred five thousand, seven hundred fifty-two".