204717672 has 128 divisors (see below), whose sum is σ = 607305600. Its totient is φ = 63673344.

The previous prime is 204717659. The next prime is 204717701. The reversal of 204717672 is 276717402.

It is a happy number.

204717672 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 723243 + ... + 723525.

It is an arithmetic number, because the mean of its divisors is an integer number (4744575).

Almost surely, 2^204717672 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 204717672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303652800).

204717672 is an abundant number, since it is smaller than the sum of its proper divisors (402587928).

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

204717672 is a wasteful number, since it uses less digits than its factorization.

204717672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 204717672 is about 14307.9583449212. The cubic root of 204717672 is about 589.3660450961.

The spelling of 204717672 in words is "two hundred four million, seven hundred seventeen thousand, six hundred seventy-two".