12753072 has 80 divisors (see below), whose sum is σ = 37363680. Its totient is φ = 4163328.

The previous prime is 12753061. The next prime is 12753073. The reversal of 12753072 is 27035721.

12753072 is a `hidden beast` number, since 127 + 530 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12753073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22618 + ... + 23174.

It is an arithmetic number, because the mean of its divisors is an integer number (467046).

Almost surely, 2^12753072 is an apocalyptic number.

12753072 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 12753072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681840).

12753072 is an abundant number, since it is smaller than the sum of its proper divisors (24610608).

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

12753072 is a wasteful number, since it uses less digits than its factorization.

12753072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12753072 is about 3571.1443544052. The cubic root of 12753072 is about 233.6351975174.

Adding to 12753072 its reverse (27035721), we get a palindrome (39788793).

The spelling of 12753072 in words is "twelve million, seven hundred fifty-three thousand, seventy-two".