13585272 has 32 divisors (see below), whose sum is σ = 35441280. Its totient is φ = 4331360.

The previous prime is 13585259. The next prime is 13585279. The reversal of 13585272 is 27258531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11754 + ... + 12857.

It is an arithmetic number, because the mean of its divisors is an integer number (1107540).

Almost surely, 2^13585272 is an apocalyptic number.

13585272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13585272 is an abundant number, since it is smaller than the sum of its proper divisors (21856008).

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

13585272 is a wasteful number, since it uses less digits than its factorization.

13585272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24643 (or 24639 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 13585272 is about 3685.8203971436. The cubic root of 13585272 is about 238.6104424568.

The spelling of 13585272 in words is "thirteen million, five hundred eighty-five thousand, two hundred seventy-two".