204675072 has 96 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 58466304.

The previous prime is 204675067. The next prime is 204675109. The reversal of 204675072 is 270576402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40629 + ... + 45387.

It is an arithmetic number, because the mean of its divisors is an integer number (6497400).

Almost surely, 2^204675072 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 204675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

204675072 is an abundant number, since it is smaller than the sum of its proper divisors (419075328).

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

204675072 is an equidigital number, since it uses as much as digits as its factorization.

204675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 204675072 is about 14306.4695854708. The cubic root of 204675072 is about 589.3251615792.

The spelling of 204675072 in words is "two hundred four million, six hundred seventy-five thousand, seventy-two".