14407072 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 6888960.

The previous prime is 14407049. The next prime is 14407079. The reversal of 14407072 is 27070441.

It is a super-2 number, since 2×14407072² = 415127447226368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14407079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103579 + ... + 103717.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 2^14407072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

14407072 is an abundant number, since it is smaller than the sum of its proper divisors (15228128).

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

14407072 is a wasteful number, since it uses less digits than its factorization.

14407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 14407072 is about 3795.6648956408. The cubic root of 14407072 is about 243.3279004646.

The spelling of 14407072 in words is "fourteen million, four hundred seven thousand, seventy-two".