13843872 has 180 divisors, whose sum is σ = 47796210. Its totient is φ = 3919104.

The previous prime is 13843853. The next prime is 13843877. The reversal of 13843872 is 27834831.

13843872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 3111696 = 3276^2 + 1764^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13843877) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126954 + ... + 127062.

Almost surely, 2^13843872 is an apocalyptic number.

13843872 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 13843872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898105).

13843872 is an abundant number, since it is smaller than the sum of its proper divisors (33952338).

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

13843872 is a wasteful number, since it uses less digits than its factorization.

13843872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13843872 is about 3720.7354111788. The cubic root of 13843872 is about 240.1149449398.

The spelling of 13843872 in words is "thirteen million, eight hundred forty-three thousand, eight hundred seventy-two".