12735552 has 56 divisors (see below), whose sum is σ = 34052256. Its totient is φ = 4200448.

The previous prime is 12735551. The next prime is 12735559. The reversal of 12735552 is 25553721.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12735551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21403 + ... + 21989.

It is an arithmetic number, because the mean of its divisors is an integer number (608076).

Almost surely, 2^12735552 is an apocalyptic number.

12735552 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 12735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026128).

12735552 is an abundant number, since it is smaller than the sum of its proper divisors (21316704).

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

12735552 is a wasteful number, since it uses less digits than its factorization.

12735552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 12735552 is about 3568.6905161417. The cubic root of 12735552 is about 233.5281601822.

The spelling of 12735552 in words is "twelve million, seven hundred thirty-five thousand, five hundred fifty-two".