12072033 has 24 divisors (see below), whose sum is σ = 18832320. Its totient is φ = 7428960.

The previous prime is 12072031. The next prime is 12072037. The reversal of 12072033 is 33027021.

12072033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12072033 - 2¹ = 12072031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12071997 and 12072015.

It is not an unprimeable number, because it can be changed into a prime (12072031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4998 + ... + 7008.

It is an arithmetic number, because the mean of its divisors is an integer number (784680).

Almost surely, 2^12072033 is an apocalyptic number.

It is an amenable number.

12072033 is a deficient number, since it is larger than the sum of its proper divisors (6760287).

12072033 is a wasteful number, since it uses less digits than its factorization.

12072033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 12072033 is about 3474.4831270277. The cubic root of 12072033 is about 229.4000305055.

Adding to 12072033 its reverse (33027021), we get a palindrome (45099054).

It can be divided in two parts, 1207 and 2033, that added together give a triangular number (3240 = T₈₀).

The spelling of 12072033 in words is "twelve million, seventy-two thousand, thirty-three".