33072288 has 48 divisors (see below), whose sum is σ = 89623296. Its totient is φ = 10667520.

The previous prime is 33072283. The next prime is 33072301. The reversal of 33072288 is 88227033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (33072283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2581 + ... + 8532.

It is an arithmetic number, because the mean of its divisors is an integer number (1867152).

Almost surely, 2^33072288 is an apocalyptic number.

It is an amenable number.

33072288 is an abundant number, since it is smaller than the sum of its proper divisors (56551008).

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

33072288 is a wasteful number, since it uses less digits than its factorization.

33072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 33072288 is about 5750.8510674508. The cubic root of 33072288 is about 320.9874705176.

The spelling of 33072288 in words is "thirty-three million, seventy-two thousand, two hundred eighty-eight".