13872032 has 12 divisors (see below), whose sum is σ = 27310626. Its totient is φ = 6936000.

The previous prime is 13872031. The next prime is 13872037. The reversal of 13872032 is 23027831.

13872032 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., 10471696 + 3400336 = 3236^2 + 1844^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13871992 and 13872010.

It is not an unprimeable number, because it can be changed into a prime (13872031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 216719 + ... + 216782.

Almost surely, 2^13872032 is an apocalyptic number.

It is an amenable number.

13872032 is a deficient number, since it is larger than the sum of its proper divisors (13438594).

13872032 is an equidigital number, since it uses as much as digits as its factorization.

13872032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433511 (or 433503 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 13872032 is about 3724.5176868958. The cubic root of 13872032 is about 240.2776416521.

Adding to 13872032 its reverse (23027831), we get a palindrome (36899863).

The spelling of 13872032 in words is "thirteen million, eight hundred seventy-two thousand, thirty-two".