205452072 has 128 divisors (see below), whose sum is σ = 690681600. Its totient is φ = 55240704.

The previous prime is 205452067. The next prime is 205452103. The reversal of 205452072 is 270254502.

205452072 is a `hidden beast` number, since 20 + 54 + 520 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 21708 + ... + 29700.

It is an arithmetic number, because the mean of its divisors is an integer number (5395950).

Almost surely, 2^205452072 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 205452072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345340800).

205452072 is an abundant number, since it is smaller than the sum of its proper divisors (485229528).

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

205452072 is a wasteful number, since it uses less digits than its factorization.

205452072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 8022 counting only the distinct ones).

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

The square root of 205452072 is about 14333.5994083831. The cubic root of 205452072 is about 590.0699639333.

The spelling of 205452072 in words is "two hundred five million, four hundred fifty-two thousand, seventy-two".