13872872 has 48 divisors (see below), whose sum is σ = 29162880. Its totient is φ = 6177600.

The previous prime is 13872853. The next prime is 13872877. The reversal of 13872872 is 27827831.

It is not an unprimeable number, because it can be changed into a prime (13872877) 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, 41747 + ... + 42077.

It is an arithmetic number, because the mean of its divisors is an integer number (607560).

Almost surely, 2^13872872 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 13872872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581440).

13872872 is an abundant number, since it is smaller than the sum of its proper divisors (15290008).

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

13872872 is a wasteful number, since it uses less digits than its factorization.

13872872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 13872872 is about 3724.6304514676. The cubic root of 13872872 is about 240.2824914377.

The spelling of 13872872 in words is "thirteen million, eight hundred seventy-two thousand, eight hundred seventy-two".