10585872 has 120 divisors (see below), whose sum is σ = 33310368. Its totient is φ = 3110400.

The previous prime is 10585867. The next prime is 10585873. The reversal of 10585872 is 27858501.

10585872 is a `hidden beast` number, since 1 + 0 + 585 + 8 + 72 = 666.

It is a super-2 number, since 2×10585872² = 224121372000768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (10585873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64863 + ... + 65025.

Almost surely, 2^10585872 is an apocalyptic number.

10585872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10585872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

10585872 is an abundant number, since it is smaller than the sum of its proper divisors (22724496).

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

10585872 is a wasteful number, since it uses less digits than its factorization.

10585872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 10585872 is about 3253.5937054279. The cubic root of 10585872 is about 219.5712863211.

The spelling of 10585872 in words is "ten million, five hundred eighty-five thousand, eight hundred seventy-two".