33666072 has 48 divisors (see below), whose sum is σ = 92520120. Its totient is φ = 10200960.

The previous prime is 33666047. The next prime is 33666079. The reversal of 33666072 is 27066633.

It is a super-2 number, since 2×33666072² = 2266808807818368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33666079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2893 + ... + 8700.

Almost surely, 2^33666072 is an apocalyptic number.

It is an amenable number.

33666072 is an abundant number, since it is smaller than the sum of its proper divisors (58854048).

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

33666072 is a wasteful number, since it uses less digits than its factorization.

33666072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11624 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 33666072 is about 5802.2471508890. The cubic root of 33666072 is about 322.8971035271.

The spelling of 33666072 in words is "thirty-three million, six hundred sixty-six thousand, seventy-two".