10585272 has 16 divisors (see below), whose sum is σ = 26463240. Its totient is φ = 3528416.

The previous prime is 10585259. The next prime is 10585273. The reversal of 10585272 is 27258501.

It is a super-2 number, since 2×10585272² = 224095966627968, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220503 + ... + 220550.

Almost surely, 2^10585272 is an apocalyptic number.

10585272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10585272 is an abundant number, since it is smaller than the sum of its proper divisors (15877968).

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

10585272 is a wasteful number, since it uses less digits than its factorization.

10585272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441062 (or 441058 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 10585272 is about 3253.5014983860. The cubic root of 10585272 is about 219.5671378591.

The spelling of 10585272 in words is "ten million, five hundred eighty-five thousand, two hundred seventy-two".