12073824 has 144 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 3354624.

The previous prime is 12073823. The next prime is 12073871. The reversal of 12073824 is 42837021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073823) 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 23 ways as a sum of consecutive naturals, for example, 106792 + ... + 106904.

It is an arithmetic number, because the mean of its divisors is an integer number (280098).

Almost surely, 2^12073824 is an apocalyptic number.

12073824 is a gapful number since it is divisible by the number (14) 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 12073824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

12073824 is an abundant number, since it is smaller than the sum of its proper divisors (28260288).

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

12073824 is a wasteful number, since it uses less digits than its factorization.

12073824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

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

The square root of 12073824 is about 3474.7408536465. The cubic root of 12073824 is about 229.4113744975.

The spelling of 12073824 in words is "twelve million, seventy-three thousand, eight hundred twenty-four".