204190272 has 336 divisors, whose sum is σ = 716718912. Its totient is φ = 54743040.

The previous prime is 204190237. The next prime is 204190279. The reversal of 204190272 is 272091402.

204190272 is a `hidden beast` number, since 204 + 190 + 272 = 666.

204190272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204190279) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3047583 + ... + 3047649.

It is an arithmetic number, because the mean of its divisors is an integer number (2133092).

Almost surely, 2^204190272 is an apocalyptic number.

204190272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358359456).

204190272 is an abundant number, since it is smaller than the sum of its proper divisors (512528640).

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

204190272 is a wasteful number, since it uses less digits than its factorization.

204190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

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

The square root of 204190272 is about 14289.5161569593. The cubic root of 204190272 is about 588.8594955043.

The spelling of 204190272 in words is "two hundred four million, one hundred ninety thousand, two hundred seventy-two".