12753216 has 84 divisors (see below), whose sum is σ = 41790112. Its totient is φ = 3642624.

The previous prime is 12753211. The next prime is 12753217. The reversal of 12753216 is 61235721.

It is a happy number.

12753216 is a `hidden beast` number, since 127 + 532 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 12753216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12753211) 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, 2451 + ... + 5613.

Almost surely, 2^12753216 is an apocalyptic number.

12753216 is a gapful number since it is divisible by the number (16) 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 12753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895056).

12753216 is an abundant number, since it is smaller than the sum of its proper divisors (29036896).

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

12753216 is a wasteful number, since it uses less digits than its factorization.

12753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3175 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 12753216 is about 3571.1645159527. The cubic root of 12753216 is about 233.6360768700.

Adding to 12753216 its reverse (61235721), we get a palindrome (73988937).

The spelling of 12753216 in words is "twelve million, seven hundred fifty-three thousand, two hundred sixteen".