205042572 has 72 divisors (see below), whose sum is σ = 594580896. Its totient is φ = 58362624.

The previous prime is 205042571. The next prime is 205042573. The reversal of 205042572 is 275240502.

205042572 is a `hidden beast` number, since 2 + 0 + 50 + 42 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (205042571) and next prime (205042573).

It is not an unprimeable number, because it can be changed into a prime (205042571) 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 23 ways as a sum of consecutive naturals, for example, 72448 + ... + 75224.

It is an arithmetic number, because the mean of its divisors is an integer number (8258068).

Almost surely, 2^205042572 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 205042572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297290448).

205042572 is an abundant number, since it is smaller than the sum of its proper divisors (389538324).

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

205042572 is a wasteful number, since it uses less digits than its factorization.

205042572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 205042572 is about 14319.3076648279. The cubic root of 205042572 is about 589.6776674649.

The spelling of 205042572 in words is "two hundred five million, forty-two thousand, five hundred seventy-two".