13872672 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 4032000.

The previous prime is 13872659. The next prime is 13872707. The reversal of 13872672 is 27627831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (28224) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91797 + ... + 91947.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^13872672 is an apocalyptic number.

13872672 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 13872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

13872672 is an abundant number, since it is smaller than the sum of its proper divisors (30943008).

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

13872672 is a wasteful number, since it uses less digits than its factorization.

13872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 13872672 is about 3724.6036030697. The cubic root of 13872672 is about 240.2813367446.

The spelling of 13872672 in words is "thirteen million, eight hundred seventy-two thousand, six hundred seventy-two".