204072652 has 96 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 80410176.

The previous prime is 204072643. The next prime is 204072667. The reversal of 204072652 is 256270402.

204072652 is digitally balanced in base 2, 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 204072652.

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, 915013 + ... + 915235.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2^204072652 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 204072652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

204072652 is an abundant number, since it is smaller than the sum of its proper divisors (247511348).

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

204072652 is a wasteful number, since it uses less digits than its factorization.

204072652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 204072652 is about 14285.3999593991. The cubic root of 204072652 is about 588.7464066086.

The spelling of 204072652 in words is "two hundred four million, seventy-two thousand, six hundred fifty-two".