13789872 has 80 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 4543488.

The previous prime is 13789871. The next prime is 13789889. The reversal of 13789872 is 27898731.

It is not an unprimeable number, because it can be changed into a prime (13789871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59068 + ... + 59300.

It is an arithmetic number, because the mean of its divisors is an integer number (500526).

Almost surely, 2^13789872 is an apocalyptic number.

13789872 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 13789872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040).

13789872 is an abundant number, since it is smaller than the sum of its proper divisors (26252208).

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

13789872 is a wasteful number, since it uses less digits than its factorization.

13789872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 13789872 is about 3713.4716910191. The cubic root of 13789872 is about 239.8023372507.

It can be divided in two parts, 137 and 89872, that added together give a palindrome (90009).

The spelling of 13789872 in words is "thirteen million, seven hundred eighty-nine thousand, eight hundred seventy-two".