14787072 has 60 divisors (see below), whose sum is σ = 42689790. Its totient is φ = 4927488.

The previous prime is 14787061. The next prime is 14787077. The reversal of 14787072 is 27078741.

It can be written as a sum of positive squares in only one way, i.e., 12278016 + 2509056 = 3504^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14787077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3004 + ... + 6212.

Almost surely, 2^14787072 is an apocalyptic number.

14787072 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 14787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344895).

14787072 is an abundant number, since it is smaller than the sum of its proper divisors (27902718).

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

14787072 is an equidigital number, since it uses as much as digits as its factorization.

14787072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 14787072 is about 3845.3962084550. The cubic root of 14787072 is about 245.4486960073.

The spelling of 14787072 in words is "fourteen million, seven hundred eighty-seven thousand, seventy-two".