204363072 has 84 divisors (see below), whose sum is σ = 589070196. Its totient is φ = 67737600.

The previous prime is 204363053. The next prime is 204363101. The reversal of 204363072 is 270363402.

204363072 is a `hidden beast` number, since 20 + 4 + 3 + 630 + 7 + 2 = 666.

204363072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125081856 + 79281216 = 11184^2 + 8904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112572 + ... + 114372.

Almost surely, 2^204363072 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 204363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294535098).

204363072 is an abundant number, since it is smaller than the sum of its proper divisors (384707124).

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

204363072 is a wasteful number, since it uses less digits than its factorization.

204363072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 204363072 is about 14295.5612691492. The cubic root of 204363072 is about 589.0255599455.

The spelling of 204363072 in words is "two hundred four million, three hundred sixty-three thousand, seventy-two".