13759872 has 64 divisors (see below), whose sum is σ = 41779200. Its totient is φ = 3930624.

The previous prime is 13759853. The next prime is 13759903. The reversal of 13759872 is 27895731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 129 + ... + 5247.

It is an arithmetic number, because the mean of its divisors is an integer number (652800).

Almost surely, 2^13759872 is an apocalyptic number.

13759872 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 13759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889600).

13759872 is an abundant number, since it is smaller than the sum of its proper divisors (28019328).

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

13759872 is an equidigital number, since it uses as much as digits as its factorization.

13759872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5131 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 13759872 is about 3709.4301449144. The cubic root of 13759872 is about 239.6283135577.

The spelling of 13759872 in words is "thirteen million, seven hundred fifty-nine thousand, eight hundred seventy-two".