12072816 has 180 divisors, whose sum is σ = 41347800. Its totient is φ = 3273984.

The previous prime is 12072803. The next prime is 12072869. The reversal of 12072816 is 61827021.

12072816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12072816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204595 + ... + 204653.

It is an arithmetic number, because the mean of its divisors is an integer number (229710).

Almost surely, 2^12072816 is an apocalyptic number.

12072816 is a gapful number since it is divisible by the number (16) 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 12072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673900).

12072816 is an abundant number, since it is smaller than the sum of its proper divisors (29274984).

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

12072816 is a wasteful number, since it uses less digits than its factorization.

12072816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12072816 is about 3474.5958038310. The cubic root of 12072816 is about 229.4049900772.

Adding to 12072816 its reverse (61827021), we get a palindrome (73899837).

The spelling of 12072816 in words is "twelve million, seventy-two thousand, eight hundred sixteen".