205672012 has 72 divisors (see below), whose sum is σ = 459705456. Its totient is φ = 79777152.

The previous prime is 205672009. The next prime is 205672021. The reversal of 205672012 is 210276502.

205672012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 134283 + ... + 135805.

It is an arithmetic number, because the mean of its divisors is an integer number (6384798).

Almost surely, 2^205672012 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 205672012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229852728).

205672012 is an abundant number, since it is smaller than the sum of its proper divisors (254033444).

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

205672012 is a wasteful number, since it uses less digits than its factorization.

205672012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 205672012 is about 14341.2695393400. The cubic root of 205672012 is about 590.2804488793.

The spelling of 205672012 in words is "two hundred five million, six hundred seventy-two thousand, twelve".