204896072 has 32 divisors (see below), whose sum is σ = 392084280. Its totient is φ = 100354560.

The previous prime is 204896071. The next prime is 204896089. The reversal of 204896072 is 270698402.

204896072 is digitally balanced in base 2, 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 4 ways, for example, as 193376836 + 11519236 = 13906^2 + 3394^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (204896071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142268 + ... + 143700.

Almost surely, 2^204896072 is an apocalyptic number.

It is an amenable number.

204896072 is a deficient number, since it is larger than the sum of its proper divisors (187188208).

204896072 is a wasteful number, since it uses less digits than its factorization.

204896072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 204896072 is about 14314.1912799850. The cubic root of 204896072 is about 589.5371952369.

The spelling of 204896072 in words is "two hundred four million, eight hundred ninety-six thousand, seventy-two".