10205272 has 32 divisors (see below), whose sum is σ = 23857920. Its totient is φ = 3975840.

The previous prime is 10205257. The next prime is 10205291. The reversal of 10205272 is 27250201.

10205272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7668 + ... + 8899.

It is an arithmetic number, because the mean of its divisors is an integer number (745560).

Almost surely, 2^10205272 is an apocalyptic number.

It is an amenable number.

10205272 is an abundant number, since it is smaller than the sum of its proper divisors (13652648).

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

10205272 is a wasteful number, since it uses less digits than its factorization.

10205272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16591 (or 16587 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 10205272 is about 3194.5691415275. The cubic root of 10205272 is about 216.9076461471.

Adding to 10205272 its reverse (27250201), we get a palindrome (37455473).

The spelling of 10205272 in words is "ten million, two hundred five thousand, two hundred seventy-two".