12072960 has 144 divisors (see below), whose sum is σ = 42162120. Its totient is φ = 3194880.

The previous prime is 12072913. The next prime is 12072979. The reversal of 12072960 is 6927021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 92095 + ... + 92225.

Almost surely, 2^12072960 is an apocalyptic number.

12072960 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 12072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081060).

12072960 is an abundant number, since it is smaller than the sum of its proper divisors (30089160).

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

12072960 is a wasteful number, since it uses less digits than its factorization.

12072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12072960 is about 3474.6165256039. The cubic root of 12072960 is about 229.4059021590.

Adding to 12072960 its reverse (6927021), we get a palindrome (18999981).

The spelling of 12072960 in words is "twelve million, seventy-two thousand, nine hundred sixty".