12483072 has 200 divisors, whose sum is σ = 43571616. Its totient is φ = 3483648.

The previous prime is 12483061. The next prime is 12483091. The reversal of 12483072 is 27038421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 290283 + ... + 290325.

Almost surely, 2^12483072 is an apocalyptic number.

12483072 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 12483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785808).

12483072 is an abundant number, since it is smaller than the sum of its proper divisors (31088544).

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

12483072 is an frugal number, since it uses more digits than its factorization.

12483072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12483072 is about 3533.1391141590. The cubic root of 12483072 is about 231.9746305989.

The spelling of 12483072 in words is "twelve million, four hundred eighty-three thousand, seventy-two".