205072638 has 16 divisors (see below), whose sum is σ = 412413456. Its totient is φ = 67979520.

The previous prime is 205072607. The next prime is 205072661. The reversal of 205072638 is 836270502.

It is a junction number, because it is equal to n+sod(n) for n = 205072599 and 205072608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93331 + ... + 95502.

It is an arithmetic number, because the mean of its divisors is an integer number (25775841).

Almost surely, 2^205072638 is an apocalyptic number.

205072638 is an abundant number, since it is smaller than the sum of its proper divisors (207340818).

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

205072638 is a wasteful number, since it uses less digits than its factorization.

205072638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189019.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 205072638 is about 14320.3574676053. The cubic root of 205072638 is about 589.7064881175.

The spelling of 205072638 in words is "two hundred five million, seventy-two thousand, six hundred thirty-eight".