14013792 has 144 divisors (see below), whose sum is σ = 45405360. Its totient is φ = 4064256.

The previous prime is 14013761. The next prime is 14013799. The reversal of 14013792 is 29731041.

14013792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71038 + ... + 71234.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^14013792 is an apocalyptic number.

14013792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3743×3744.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702680).

14013792 is an abundant number, since it is smaller than the sum of its proper divisors (31391568).

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

14013792 is a wasteful number, since it uses less digits than its factorization.

14013792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14013792 is about 3743.4999666088. The cubic root of 14013792 is about 241.0933449234.

The spelling of 14013792 in words is "fourteen million, thirteen thousand, seven hundred ninety-two".