13872114 has 64 divisors (see below), whose sum is σ = 32503680. Its totient is φ = 4380480.

The previous prime is 13872113. The next prime is 13872137. The reversal of 13872114 is 41127831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13872113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105829 + ... + 105959.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 2^13872114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13872114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251840).

13872114 is an abundant number, since it is smaller than the sum of its proper divisors (18631566).

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

13872114 is a wasteful number, since it uses less digits than its factorization.

13872114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13872114 is about 3724.5286950163. The cubic root of 13872114 is about 240.2781150922.

Adding to 13872114 its reverse (41127831), we get a palindrome (54999945).

The spelling of 13872114 in words is "thirteen million, eight hundred seventy-two thousand, one hundred fourteen".