205875572 has 48 divisors (see below), whose sum is σ = 425749632. Its totient is φ = 85276800.

The previous prime is 205875569. The next prime is 205875577. The reversal of 205875572 is 275578502.

It is a super-2 number, since 2×205875572² = 84769502292654368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205875577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120758 + ... + 122450.

It is an arithmetic number, because the mean of its divisors is an integer number (8869784).

Almost surely, 2^205875572 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 205875572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212874816).

205875572 is an abundant number, since it is smaller than the sum of its proper divisors (219874060).

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

205875572 is a wasteful number, since it uses less digits than its factorization.

205875572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 41.

The square root of 205875572 is about 14348.3647848805. The cubic root of 205875572 is about 590.4751243200.

The spelling of 205875572 in words is "two hundred five million, eight hundred seventy-five thousand, five hundred seventy-two".