33066752 has 36 divisors (see below), whose sum is σ = 67807656. Its totient is φ = 16081920.

The previous prime is 33066749. The next prime is 33066763. The reversal of 33066752 is 25766033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7727 + ... + 11217.

It is an arithmetic number, because the mean of its divisors is an integer number (1883546).

Almost surely, 2^33066752 is an apocalyptic number.

33066752 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 33066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33903828).

33066752 is an abundant number, since it is smaller than the sum of its proper divisors (34740904).

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

33066752 is an equidigital number, since it uses as much as digits as its factorization.

33066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 33066752 is about 5750.3697272436. The cubic root of 33066752 is about 320.9695593912.

The spelling of 33066752 in words is "thirty-three million, sixty-six thousand, seven hundred fifty-two".