13872144 has 160 divisors (see below), whose sum is σ = 43997184. Its totient is φ = 3709440.

The previous prime is 13872137. The next prime is 13872169. The reversal of 13872144 is 44127831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295129 + ... + 295175.

Almost surely, 2^13872144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13872144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592).

13872144 is an abundant number, since it is smaller than the sum of its proper divisors (30125040).

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

13872144 is a wasteful number, since it uses less digits than its factorization.

13872144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 13872144 is about 3724.5327223693. The cubic root of 13872144 is about 240.2782883015.

Adding to 13872144 its reverse (44127831), we get a palindrome (57999975).

The spelling of 13872144 in words is "thirteen million, eight hundred seventy-two thousand, one hundred forty-four".