12772008 has 48 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 4229280.

The previous prime is 12772003. The next prime is 12772013. The reversal of 12772008 is 80027721.

It is an interprime number because it is at equal distance from previous prime (12772003) and next prime (12772013).

It is not an unprimeable number, because it can be changed into a prime (12772003) 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, 12393 + ... + 13383.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^12772008 is an apocalyptic number.

12772008 is a gapful number since it is divisible by the number (18) 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 12772008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12772008 is an abundant number, since it is smaller than the sum of its proper divisors (22047192).

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

12772008 is a wasteful number, since it uses less digits than its factorization.

12772008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12772008 is about 3573.7946219670. The cubic root of 12772008 is about 233.7507756368.

Adding to 12772008 its reverse (80027721), we get a palindrome (92799729).

The spelling of 12772008 in words is "twelve million, seven hundred seventy-two thousand, eight".