12763072 has 56 divisors (see below), whose sum is σ = 29911040. Its totient is φ = 5287680.

The previous prime is 12763061. The next prime is 12763087. The reversal of 12763072 is 27036721.

12763072 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12763072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13429 + ... + 14347.

Almost surely, 2^12763072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955520).

12763072 is an abundant number, since it is smaller than the sum of its proper divisors (17147968).

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

12763072 is an equidigital number, since it uses as much as digits as its factorization.

12763072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 12763072 is about 3572.5441914692. The cubic root of 12763072 is about 233.6962479471.

Adding to 12763072 its reverse (27036721), we get a palindrome (39799793).

The spelling of 12763072 in words is "twelve million, seven hundred sixty-three thousand, seventy-two".