12033792 has 72 divisors (see below), whose sum is σ = 35606480. Its totient is φ = 4008960.

The previous prime is 12033767. The next prime is 12033793. The reversal of 12033792 is 29733021.

12033792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6042 + ... + 7782.

Almost surely, 2^12033792 is an apocalyptic number.

12033792 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 12033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803240).

12033792 is an abundant number, since it is smaller than the sum of its proper divisors (23572688).

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

12033792 is an equidigital number, since it uses as much as digits as its factorization.

12033792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 12033792 is about 3468.9756413097. The cubic root of 12033792 is about 229.1575481257.

The spelling of 12033792 in words is "twelve million, thirty-three thousand, seven hundred ninety-two".