12672000 has 264 divisors, whose sum is σ = 49815792. Its totient is φ = 3072000.

The previous prime is 12671969. The next prime is 12672007. The reversal of 12672000 is 27621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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 (12672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151995 + ... + 1152005.

Almost surely, 2^12672000 is an apocalyptic number.

12672000 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 12672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24907896).

12672000 is an abundant number, since it is smaller than the sum of its proper divisors (37143792).

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

12672000 is a wasteful number, since it uses less digits than its factorization.

12672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

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

The square root of 12672000 is about 3559.7752738059. The cubic root of 12672000 is about 233.1390673301.

Adding to 12672000 its reverse (27621), we get a palindrome (12699621).

The spelling of 12672000 in words is "twelve million, six hundred seventy-two thousand".