14814072 has 288 divisors, whose sum is σ = 56019600. Its totient is φ = 3483648.

The previous prime is 14814013. The next prime is 14814073. The reversal of 14814072 is 27041841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14814073) 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 71 ways as a sum of consecutive naturals, for example, 779679 + ... + 779697.

Almost surely, 2^14814072 is an apocalyptic number.

14814072 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 14814072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

14814072 is an abundant number, since it is smaller than the sum of its proper divisors (41205528).

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

14814072 is a wasteful number, since it uses less digits than its factorization.

14814072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14814072 is about 3848.9052989129. The cubic root of 14814072 is about 245.5979950110.

The spelling of 14814072 in words is "fourteen million, eight hundred fourteen thousand, seventy-two".