13872096 has 108 divisors (see below), whose sum is σ = 45936072. Its totient is φ = 3959424.

The previous prime is 13872073. The next prime is 13872107. The reversal of 13872096 is 69027831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13872096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13621 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (425334).

Almost surely, 2^13872096 is an apocalyptic number.

13872096 is a gapful number since it is divisible by the number (16) 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 13872096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22968036).

13872096 is an abundant number, since it is smaller than the sum of its proper divisors (32063976).

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

13872096 is a wasteful number, since it uses less digits than its factorization.

13872096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13872096 is about 3724.5262786024. The cubic root of 13872096 is about 240.2780111664.

The spelling of 13872096 in words is "thirteen million, eight hundred seventy-two thousand, ninety-six".