204238272 has 168 divisors, whose sum is σ = 666103824. Its totient is φ = 54878208.

The previous prime is 204238249. The next prime is 204238273. The reversal of 204238272 is 272832402.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204238273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159298 + ... + 160574.

Almost surely, 2^204238272 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 204238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333051912).

204238272 is an abundant number, since it is smaller than the sum of its proper divisors (461865552).

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

204238272 is a wasteful number, since it uses less digits than its factorization.

204238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 204238272 is about 14291.1956112846. The cubic root of 204238272 is about 588.9056339107.

The spelling of 204238272 in words is "two hundred four million, two hundred thirty-eight thousand, two hundred seventy-two".