12072672 has 96 divisors (see below), whose sum is σ = 35834400. Its totient is φ = 3953664.

The previous prime is 12072661. The next prime is 12072679. The reversal of 12072672 is 27627021.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12072679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76818 + ... + 76974.

It is an arithmetic number, because the mean of its divisors is an integer number (373275).

Almost surely, 2^12072672 is an apocalyptic number.

12072672 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 12072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917200).

12072672 is an abundant number, since it is smaller than the sum of its proper divisors (23761728).

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

12072672 is a wasteful number, since it uses less digits than its factorization.

12072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12072672 is about 3474.5750819345. The cubic root of 12072672 is about 229.4040779882.

Adding to 12072672 its reverse (27627021), we get a palindrome (39699693).

The spelling of 12072672 in words is "twelve million, seventy-two thousand, six hundred seventy-two".