12735072 has 72 divisors (see below), whose sum is σ = 41395536. Its totient is φ = 3638016.

The previous prime is 12735061. The next prime is 12735083. The reversal of 12735072 is 27053721.

It is an interprime number because it is at equal distance from previous prime (12735061) and next prime (12735083).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (574938).

Almost surely, 2^12735072 is an apocalyptic number.

12735072 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 12735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697768).

12735072 is an abundant number, since it is smaller than the sum of its proper divisors (28660464).

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

12735072 is a wasteful number, since it uses less digits than its factorization.

12735072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6329 counting only the distinct ones).

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

The square root of 12735072 is about 3568.6232639493. The cubic root of 12735072 is about 233.5252262713.

Adding to 12735072 its reverse (27053721), we get a palindrome (39788793).

The spelling of 12735072 in words is "twelve million, seven hundred thirty-five thousand, seventy-two".