14919072 has 72 divisors (see below), whose sum is σ = 45059616. Its totient is φ = 4233984.

The previous prime is 14919067. The next prime is 14919077. The reversal of 14919072 is 27091941.

It is an interprime number because it is at equal distance from previous prime (14919067) and next prime (14919077).

It is not an unprimeable number, because it can be changed into a prime (14919077) 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, 100054 + ... + 100202.

It is an arithmetic number, because the mean of its divisors is an integer number (625828).

Almost surely, 2^14919072 is an apocalyptic number.

14919072 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 14919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22529808).

14919072 is an abundant number, since it is smaller than the sum of its proper divisors (30140544).

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

14919072 is an equidigital number, since it uses as much as digits as its factorization.

14919072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 14919072 is about 3862.5214562511. The cubic root of 14919072 is about 246.1768838214.

The spelling of 14919072 in words is "fourteen million, nine hundred nineteen thousand, seventy-two".