204291072 has 132 divisors (see below), whose sum is σ = 612478776. Its totient is φ = 68014080.

The previous prime is 204291067. The next prime is 204291149. The reversal of 204291072 is 270192402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248422 + ... + 249242.

Almost surely, 2^204291072 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 204291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306239388).

204291072 is an abundant number, since it is smaller than the sum of its proper divisors (408187704).

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

204291072 is an frugal number, since it uses more digits than its factorization.

204291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 204291072 is about 14293.0427831165. The cubic root of 204291072 is about 588.9563778090.

The spelling of 204291072 in words is "two hundred four million, two hundred ninety-one thousand, seventy-two".