33072804 has 72 divisors (see below), whose sum is σ = 88845120. Its totient is φ = 10350912.

The previous prime is 33072779. The next prime is 33072811. The reversal of 33072804 is 40827033.

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 23 ways as a sum of consecutive naturals, for example, 48514 + ... + 49190.

It is an arithmetic number, because the mean of its divisors is an integer number (1233960).

Almost surely, 2^33072804 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 33072804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44422560).

33072804 is an abundant number, since it is smaller than the sum of its proper divisors (55772316).

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

33072804 is a wasteful number, since it uses less digits than its factorization.

33072804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33072804 is about 5750.8959302008. The cubic root of 33072804 is about 320.9891398777.

Adding to 33072804 its reverse (40827033), we get a palindrome (73899837).

The spelling of 33072804 in words is "thirty-three million, seventy-two thousand, eight hundred four".