33004672 has 64 divisors (see below), whose sum is σ = 71114400. Its totient is φ = 15206400.

The previous prime is 33004663. The next prime is 33004717. The reversal of 33004672 is 27640033.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99547 + ... + 99877.

Almost surely, 2^33004672 is an apocalyptic number.

33004672 is a gapful number since it is divisible by the number (32) 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 33004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35557200).

33004672 is an abundant number, since it is smaller than the sum of its proper divisors (38109728).

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

33004672 is a wasteful number, since it uses less digits than its factorization.

33004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 33004672 is about 5744.9692775506. The cubic root of 33004672 is about 320.7685692554.

The spelling of 33004672 in words is "thirty-three million, four thousand, six hundred seventy-two".