10588272 has 20 divisors (see below), whose sum is σ = 27353160. Its totient is φ = 3529408.

The previous prime is 10588261. The next prime is 10588313. The reversal of 10588272 is 27288501.

It is a super-2 number, since 2×10588272² = 224223007891968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110247 + ... + 110342.

It is an arithmetic number, because the mean of its divisors is an integer number (1367658).

Almost surely, 2^10588272 is an apocalyptic number.

10588272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10588272 is an abundant number, since it is smaller than the sum of its proper divisors (16764888).

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

10588272 is a wasteful number, since it uses less digits than its factorization.

10588272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220600 (or 220594 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 10588272 is about 3253.9625074669. The cubic root of 10588272 is about 219.5878786014.

The spelling of 10588272 in words is "ten million, five hundred eighty-eight thousand, two hundred seventy-two".