13807872 has 108 divisors (see below), whose sum is σ = 42966924. Its totient is φ = 4239360.

The previous prime is 13807861. The next prime is 13807873. The reversal of 13807872 is 27870831.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 10653696 = 1776^2 + 3264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13807873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29722 + ... + 30182.

Almost surely, 2^13807872 is an apocalyptic number.

13807872 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 13807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21483462).

13807872 is an abundant number, since it is smaller than the sum of its proper divisors (29159052).

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

13807872 is a wasteful number, since it uses less digits than its factorization.

13807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13807872 is about 3715.8945087287. The cubic root of 13807872 is about 239.9066303468.

The spelling of 13807872 in words is "thirteen million, eight hundred seven thousand, eight hundred seventy-two".