12442752 has 96 divisors (see below), whose sum is σ = 40946880. Its totient is φ = 3552768.

The previous prime is 12442741. The next prime is 12442763. The reversal of 12442752 is 25724421.

12442752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12442741) and next prime (12442763).

It is a tau number, because it is divible by the number of its divisors (96).

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, 7293 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (426530).

Almost surely, 2^12442752 is an apocalyptic number.

12442752 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 12442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473440).

12442752 is an abundant number, since it is smaller than the sum of its proper divisors (28504128).

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

12442752 is a wasteful number, since it uses less digits than its factorization.

12442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1555 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 12442752 is about 3527.4285251441. The cubic root of 12442752 is about 231.7246038578.

The spelling of 12442752 in words is "twelve million, four hundred forty-two thousand, seven hundred fifty-two".