33002272 has 24 divisors (see below), whose sum is σ = 66358656. Its totient is φ = 16149312.

The previous prime is 33002269. The next prime is 33002303. The reversal of 33002272 is 27220033.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 9468 + ... + 12475.

It is an arithmetic number, because the mean of its divisors is an integer number (2764944).

Almost surely, 2^33002272 is an apocalyptic number.

33002272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33002272 is an abundant number, since it is smaller than the sum of its proper divisors (33356384).

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

33002272 is a wasteful number, since it uses less digits than its factorization.

33002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000 (or 21992 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 33002272 is about 5744.7603953516. The cubic root of 33002272 is about 320.7607939599.

The spelling of 33002272 in words is "thirty-three million, two thousand, two hundred seventy-two".