12075072 has 56 divisors (see below), whose sum is σ = 32503872. Its totient is φ = 3955200.

The previous prime is 12075059. The next prime is 12075073. The reversal of 12075072 is 27057021.

It is a super-3 number, since 3×12075072³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12075073) 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, 11197 + ... + 12227.

Almost surely, 2^12075072 is an apocalyptic number.

12075072 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 12075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251936).

12075072 is an abundant number, since it is smaller than the sum of its proper divisors (20428800).

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

12075072 is a wasteful number, since it uses less digits than its factorization.

12075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 12075072 is about 3474.9204307437. The cubic root of 12075072 is about 229.4192785256.

The spelling of 12075072 in words is "twelve million, seventy-five thousand, seventy-two".