12315072 has 224 divisors, whose sum is σ = 43891200. Its totient is φ = 3010560.

The previous prime is 12315013. The next prime is 12315077. The reversal of 12315072 is 27051321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724408 + ... + 724424.

Almost surely, 2^12315072 is an apocalyptic number.

12315072 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 12315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

12315072 is an abundant number, since it is smaller than the sum of its proper divisors (31576128).

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

12315072 is a wasteful number, since it uses less digits than its factorization.

12315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12315072 is about 3509.2836875921. The cubic root of 12315072 is about 230.9292712754.

Adding to 12315072 its reverse (27051321), we get a palindrome (39366393).

The spelling of 12315072 in words is "twelve million, three hundred fifteen thousand, seventy-two".