14400720 has 160 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 3741696.

The previous prime is 14400707. The next prime is 14400721. The reversal of 14400720 is 2700441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14400693 and 14400702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127384 + ... + 127496.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^14400720 is an apocalyptic number.

14400720 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 14400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

14400720 is an abundant number, since it is smaller than the sum of its proper divisors (36488880).

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

14400720 is a wasteful number, since it uses less digits than its factorization.

14400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14400720 is about 3794.8280593460. The cubic root of 14400720 is about 243.2921345567.

The spelling of 14400720 in words is "fourteen million, four hundred thousand, seven hundred twenty".