12072000 has 112 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 3212800.

The previous prime is 12071981. The next prime is 12072001. The reversal of 12072000 is 27021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12072001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23749 + ... + 24251.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^12072000 is an apocalyptic number.

12072000 is a gapful number since it is divisible by the number (10) 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 12072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

12072000 is an abundant number, since it is smaller than the sum of its proper divisors (27868992).

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

12072000 is an equidigital number, since it uses as much as digits as its factorization.

12072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12072000 is about 3474.4783781166. The cubic root of 12072000 is about 229.3998214767.

Adding to 12072000 its reverse (27021), we get a palindrome (12099021).

The spelling of 12072000 in words is "twelve million, seventy-two thousand".