205059972 has 48 divisors (see below), whose sum is σ = 517430592. Its totient is φ = 62832000.

The previous prime is 205059971. The next prime is 205060003. The reversal of 205059972 is 279950502.

205059972 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 205059972.

It is not an unprimeable number, because it can be changed into a prime (205059971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36538 + ... + 41774.

It is an arithmetic number, because the mean of its divisors is an integer number (10779804).

Almost surely, 2^205059972 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 205059972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258715296).

205059972 is an abundant number, since it is smaller than the sum of its proper divisors (312370620).

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

205059972 is a wasteful number, since it uses less digits than its factorization.

205059972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 205059972 is about 14319.9152232127. The cubic root of 205059972 is about 589.6943470924.

The spelling of 205059972 in words is "two hundred five million, fifty-nine thousand, nine hundred seventy-two".