33666672 has 80 divisors (see below), whose sum is σ = 94521728. Its totient is φ = 10264320.

The previous prime is 33666667. The next prime is 33666673. The reversal of 33666672 is 27666633.

It is a super-2 number, since 2×33666672² = 2266889607111168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 33666672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33666673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101547 + ... + 101877.

Almost surely, 2^33666672 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 33666672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47260864).

33666672 is an abundant number, since it is smaller than the sum of its proper divisors (60855056).

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

33666672 is a wasteful number, since it uses less digits than its factorization.

33666672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The square root of 33666672 is about 5802.2988547644. The cubic root of 33666672 is about 322.8990217502.

Subtracting from 33666672 its sum of digits (39), we obtain a palindrome (33666633).

The spelling of 33666672 in words is "thirty-three million, six hundred sixty-six thousand, six hundred seventy-two".