12772040 has 32 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 5045952.

The previous prime is 12772013. The next prime is 12772057. The reversal of 12772040 is 4027721.

It is a junction number, because it is equal to n+sod(n) for n = 12771997 and 12772015.

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, 1397 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 2^12772040 is an apocalyptic number.

12772040 is a gapful number since it is divisible by the number (10) 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 12772040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

12772040 is an abundant number, since it is smaller than the sum of its proper divisors (16318840).

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

12772040 is a wasteful number, since it uses less digits than its factorization.

12772040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 12772040 is about 3573.7990989982. The cubic root of 12772040 is about 233.7509708559.

Adding to 12772040 its reverse (4027721), we get a palindrome (16799761).

The spelling of 12772040 in words is "twelve million, seven hundred seventy-two thousand, forty".