14832720 has 240 divisors, whose sum is σ = 59579520. Its totient is φ = 3359232.

The previous prime is 14832691. The next prime is 14832731. The reversal of 14832720 is 2723841.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136026 + ... + 136134.

It is an arithmetic number, because the mean of its divisors is an integer number (248248).

Almost surely, 2^14832720 is an apocalyptic number.

14832720 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 14832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760).

14832720 is an abundant number, since it is smaller than the sum of its proper divisors (44746800).

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

14832720 is a wasteful number, since it uses less digits than its factorization.

14832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

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

The square root of 14832720 is about 3851.3270440200. The cubic root of 14832720 is about 245.7010049738.

The spelling of 14832720 in words is "fourteen million, eight hundred thirty-two thousand, seven hundred twenty".