205572096 has 144 divisors (see below), whose sum is σ = 626043600. Its totient is φ = 64806912.

The previous prime is 205572089. The next prime is 205572119. The reversal of 205572096 is 690275502.

205572096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205572096.

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, 349915 + ... + 350501.

It is an arithmetic number, because the mean of its divisors is an integer number (4347525).

Almost surely, 2^205572096 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 205572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313021800).

205572096 is an abundant number, since it is smaller than the sum of its proper divisors (420471504).

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

205572096 is a wasteful number, since it uses less digits than its factorization.

205572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 205572096 is about 14337.7856030839. The cubic root of 205572096 is about 590.1848468024.

The spelling of 205572096 in words is "two hundred five million, five hundred seventy-two thousand, ninety-six".