12807072 has 108 divisors (see below), whose sum is σ = 38438946. Its totient is φ = 4199040.

The previous prime is 12807049. The next prime is 12807089. The reversal of 12807072 is 27070821.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 104976 = 3564^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209922 + ... + 209982.

Almost surely, 2^12807072 is an apocalyptic number.

12807072 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 12807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219473).

12807072 is an abundant number, since it is smaller than the sum of its proper divisors (25631874).

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

12807072 is an frugal number, since it uses more digits than its factorization.

12807072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

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

The square root of 12807072 is about 3578.6969695687. The cubic root of 12807072 is about 233.9644916535.

Adding to 12807072 its reverse (27070821), we get a palindrome (39877893).

The spelling of 12807072 in words is "twelve million, eight hundred seven thousand, seventy-two".