10086272 has 32 divisors (see below), whose sum is σ = 22966320. Its totient is φ = 4322304.

The previous prime is 10086239. The next prime is 10086301. The reversal of 10086272 is 27268001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 4733 + ... + 6524.

Almost surely, 2^10086272 is an apocalyptic number.

It is an amenable number.

10086272 is an abundant number, since it is smaller than the sum of its proper divisors (12880048).

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

10086272 is an equidigital number, since it uses as much as digits as its factorization.

10086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11278 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10086272 is about 3175.8891668319. The cubic root of 10086272 is about 216.0612537756.

The spelling of 10086272 in words is "ten million, eighty-six thousand, two hundred seventy-two".