205712772 has 48 divisors (see below), whose sum is σ = 508972800. Its totient is φ = 64484640.

The previous prime is 205712737. The next prime is 205712783. The reversal of 205712772 is 277217502.

205712772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28447 + ... + 34937.

It is an arithmetic number, because the mean of its divisors is an integer number (10603600).

Almost surely, 2^205712772 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 205712772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254486400).

205712772 is an abundant number, since it is smaller than the sum of its proper divisors (303260028).

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

205712772 is a wasteful number, since it uses less digits than its factorization.

205712772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 205712772 is about 14342.6905425725. The cubic root of 205712772 is about 590.3194401542.

The spelling of 205712772 in words is "two hundred five million, seven hundred twelve thousand, seven hundred seventy-two".