13831872 has 56 divisors (see below), whose sum is σ = 37228272. Its totient is φ = 4531200.

The previous prime is 13831871. The next prime is 13831879. The reversal of 13831872 is 27813831.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13831871) 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, 11122 + ... + 12302.

Almost surely, 2^13831872 is an apocalyptic number.

13831872 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 13831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614136).

13831872 is an abundant number, since it is smaller than the sum of its proper divisors (23396400).

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

13831872 is a wasteful number, since it uses less digits than its factorization.

13831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 13831872 is about 3719.1224771443. The cubic root of 13831872 is about 240.0455469112.

The spelling of 13831872 in words is "thirteen million, eight hundred thirty-one thousand, eight hundred seventy-two".