12772566 has 48 divisors (see below), whose sum is σ = 29444688. Its totient is φ = 4147200.

The previous prime is 12772553. The next prime is 12772597. The reversal of 12772566 is 66527721.

12772566 is a `hidden beast` number, since 1 + 27 + 72 + 566 = 666.

12772566 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 self number, because there is not a number n which added to its sum of digits gives 12772566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19606 + ... + 20246.

It is an arithmetic number, because the mean of its divisors is an integer number (613431).

Almost surely, 2^12772566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12772566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722344).

12772566 is an abundant number, since it is smaller than the sum of its proper divisors (16672122).

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

12772566 is an equidigital number, since it uses as much as digits as its factorization.

12772566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 12772566 is about 3573.8726893945. The cubic root of 12772566 is about 233.7541797226.

The spelling of 12772566 in words is "twelve million, seven hundred seventy-two thousand, five hundred sixty-six".