13183872 has 128 divisors (see below), whose sum is σ = 39984000. Its totient is φ = 3815424.

The previous prime is 13183867. The next prime is 13183883. The reversal of 13183872 is 27838131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94779 + ... + 94917.

It is an arithmetic number, because the mean of its divisors is an integer number (312375).

Almost surely, 2^13183872 is an apocalyptic number.

13183872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992000).

13183872 is an abundant number, since it is smaller than the sum of its proper divisors (26800128).

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

13183872 is a wasteful number, since it uses less digits than its factorization.

13183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 13183872 is about 3630.9602035825. The cubic root of 13183872 is about 236.2368588195.

The spelling of 13183872 in words is "thirteen million, one hundred eighty-three thousand, eight hundred seventy-two".