13872132 has 36 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 4547520.

The previous prime is 13872113. The next prime is 13872137. The reversal of 13872132 is 23127831.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 10653696 = 1794^2 + 3264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13872096 and 13872105.

It is not an unprimeable number, because it can be changed into a prime (13872137) 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, 963 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (990171).

Almost surely, 2^13872132 is an apocalyptic number.

13872132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13872132 is an abundant number, since it is smaller than the sum of its proper divisors (21774024).

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

13872132 is a wasteful number, since it uses less digits than its factorization.

13872132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6383 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13872132 is about 3724.5311114287. The cubic root of 13872132 is about 240.2782190178.

Adding to 13872132 its reverse (23127831), we get a palindrome (36999963).

The spelling of 13872132 in words is "thirteen million, eight hundred seventy-two thousand, one hundred thirty-two".