12393072 has 60 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 4080384.

The previous prime is 12393047. The next prime is 12393079. The reversal of 12393072 is 27039321.

12393072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12393079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12333 + ... + 13299.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 2^12393072 is an apocalyptic number.

12393072 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 12393072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

12393072 is an abundant number, since it is smaller than the sum of its proper divisors (22716288).

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

12393072 is a wasteful number, since it uses less digits than its factorization.

12393072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

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

The square root of 12393072 is about 3520.3795249944. The cubic root of 12393072 is about 231.4157913120.

The spelling of 12393072 in words is "twelve million, three hundred ninety-three thousand, seventy-two".