12966072 has 64 divisors (see below), whose sum is σ = 37428480. Its totient is φ = 3666432.

The previous prime is 12966071. The next prime is 12966073. The reversal of 12966072 is 27066921.

12966072 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12966071) and next prime (12966073).

12966072 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12966071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18643 + ... + 19325.

It is an arithmetic number, because the mean of its divisors is an integer number (584820).

Almost surely, 2^12966072 is an apocalyptic number.

12966072 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 12966072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714240).

12966072 is an abundant number, since it is smaller than the sum of its proper divisors (24462408).

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

12966072 is a wasteful number, since it uses less digits than its factorization.

12966072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 12966072 is about 3600.8432345771. The cubic root of 12966072 is about 234.9287365024.

The spelling of 12966072 in words is "twelve million, nine hundred sixty-six thousand, seventy-two".