205552072 has 64 divisors (see below), whose sum is σ = 437760000. Its totient is φ = 89640000.

The previous prime is 205552031. The next prime is 205552097. The reversal of 205552072 is 270255502.

205552072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205552072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411679 + ... + 412177.

It is an arithmetic number, because the mean of its divisors is an integer number (6840000).

Almost surely, 2^205552072 is an apocalyptic number.

205552072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205552072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880000).

205552072 is an abundant number, since it is smaller than the sum of its proper divisors (232207928).

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

205552072 is a wasteful number, since it uses less digits than its factorization.

205552072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 205552072 is about 14337.0872913573. The cubic root of 205552072 is about 590.1656836226.

The spelling of 205552072 in words is "two hundred five million, five hundred fifty-two thousand, seventy-two".