205725432 has 128 divisors (see below), whose sum is σ = 620213760. Its totient is φ = 56094720.

The previous prime is 205725419. The next prime is 205725451. The reversal of 205725432 is 234527502.

205725432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205725432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102228 + ... + 104220.

It is an arithmetic number, because the mean of its divisors is an integer number (4845420).

Almost surely, 2^205725432 is an apocalyptic number.

205725432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205725432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310106880).

205725432 is an abundant number, since it is smaller than the sum of its proper divisors (414488328).

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

205725432 is a wasteful number, since it uses less digits than its factorization.

205725432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 205725432 is about 14343.1318755703. The cubic root of 205725432 is about 590.3315497423.

It can be divided in two parts, 2057 and 25432, that multiplied together give a cube (52313624 = 374³).

The spelling of 205725432 in words is "two hundred five million, seven hundred twenty-five thousand, four hundred thirty-two".