14972688 has 60 divisors (see below), whose sum is σ = 43465968. Its totient is φ = 4989600.

The previous prime is 14972677. The next prime is 14972689. The reversal of 14972688 is 88627941.

It is not an unprimeable number, because it can be changed into a prime (14972689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1963 + ... + 5813.

Almost surely, 2^14972688 is an apocalyptic number.

14972688 is a gapful number since it is divisible by the number (18) 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 14972688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732984).

14972688 is an abundant number, since it is smaller than the sum of its proper divisors (28493280).

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

14972688 is an equidigital number, since it uses as much as digits as its factorization.

14972688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3856 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14972688 is about 3869.4557756873. The cubic root of 14972688 is about 246.4714338622.

The spelling of 14972688 in words is "fourteen million, nine hundred seventy-two thousand, six hundred eighty-eight".