12075264 has 72 divisors (see below), whose sum is σ = 35729120. Its totient is φ = 4022784.

The previous prime is 12075263. The next prime is 12075277. The reversal of 12075264 is 46257021.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12075263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6039 + ... + 7785.

Almost surely, 2^12075264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864560).

12075264 is an abundant number, since it is smaller than the sum of its proper divisors (23653856).

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

12075264 is an equidigital number, since it uses as much as digits as its factorization.

12075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12075264 is about 3474.9480571657. The cubic root of 12075264 is about 229.4204944816.

The spelling of 12075264 in words is "twelve million, seventy-five thousand, two hundred sixty-four".