12006072 has 96 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 3628800.

The previous prime is 12006061. The next prime is 12006077. The reversal of 12006072 is 27060021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006077) 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 23 ways as a sum of consecutive naturals, for example, 94473 + ... + 94599.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 2^12006072 is an apocalyptic number.

12006072 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 12006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

12006072 is an abundant number, since it is smaller than the sum of its proper divisors (23636808).

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

12006072 is a wasteful number, since it uses less digits than its factorization.

12006072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12006072 is about 3464.9779220076. The cubic root of 12006072 is about 228.9814570265.

Adding to 12006072 its reverse (27060021), we get a palindrome (39066093).

The spelling of 12006072 in words is "twelve million, six thousand, seventy-two".