14382720 has 192 divisors, whose sum is σ = 54419040. Its totient is φ = 3471360.

The previous prime is 14382713. The next prime is 14382721. The reversal of 14382720 is 2728341.

14382720 is digitally balanced in base 2 and base 4, because in such bases 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 (192).

It is not an unprimeable number, because it can be changed into a prime (14382721) 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, 63247 + ... + 63473.

Almost surely, 2^14382720 is an apocalyptic number.

14382720 is a gapful number since it is divisible by the number (10) 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 14382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

14382720 is an abundant number, since it is smaller than the sum of its proper divisors (40036320).

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

14382720 is a wasteful number, since it uses less digits than its factorization.

14382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14382720 is about 3792.4556688246. The cubic root of 14382720 is about 243.1907256389.

The spelling of 14382720 in words is "fourteen million, three hundred eighty-two thousand, seven hundred twenty".