14944032 has 72 divisors (see below), whose sum is σ = 44750160. Its totient is φ = 4717440.

The previous prime is 14944001. The next prime is 14944057. The reversal of 14944032 is 23044941.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 14943987 and 14944005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4107 + ... + 6837.

It is an arithmetic number, because the mean of its divisors is an integer number (621530).

Almost surely, 2^14944032 is an apocalyptic number.

14944032 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 14944032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22375080).

14944032 is an abundant number, since it is smaller than the sum of its proper divisors (29806128).

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

14944032 is a wasteful number, since it uses less digits than its factorization.

14944032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14944032 is about 3865.7511559851. The cubic root of 14944032 is about 246.3140941323.

Adding to 14944032 its reverse (23044941), we get a palindrome (37988973).

The spelling of 14944032 in words is "fourteen million, nine hundred forty-four thousand, thirty-two".