205309872 has 60 divisors (see below), whose sum is σ = 582483304. Its totient is φ = 67495680.

The previous prime is 205309849. The next prime is 205309883. The reversal of 205309872 is 278903502.

It is a happy number.

205309872 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747 + ... + 20277.

Almost surely, 2^205309872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291241652).

205309872 is an abundant number, since it is smaller than the sum of its proper divisors (377173432).

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

205309872 is a wasteful number, since it uses less digits than its factorization.

205309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19618 (or 19609 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 205309872 is about 14328.6381767424. The cubic root of 205309872 is about 589.9337970341.

The spelling of 205309872 in words is "two hundred five million, three hundred nine thousand, eight hundred seventy-two".