13872120 has 32 divisors (see below), whose sum is σ = 41616720. Its totient is φ = 3699200.

The previous prime is 13872113. The next prime is 13872137. The reversal of 13872120 is 2127831.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57681 + ... + 57920.

Almost surely, 2^13872120 is an apocalyptic number.

13872120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13872120 is an abundant number, since it is smaller than the sum of its proper divisors (27744600).

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

13872120 is a wasteful number, since it uses less digits than its factorization.

13872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115615 (or 115611 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13872120 is about 3724.5295004873. The cubic root of 13872120 is about 240.2781497340.

Adding to 13872120 its reverse (2127831), we get a palindrome (15999951).

The spelling of 13872120 in words is "thirteen million, eight hundred seventy-two thousand, one hundred twenty".