33000072 has 32 divisors (see below), whose sum is σ = 94286400. Its totient is φ = 9428544.

The previous prime is 33000059. The next prime is 33000083. The reversal of 33000072 is 27000033.

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, 98047 + ... + 98382.

It is an arithmetic number, because the mean of its divisors is an integer number (2946450).

Almost surely, 2^33000072 is an apocalyptic number.

It is an amenable number.

33000072 is an abundant number, since it is smaller than the sum of its proper divisors (61286328).

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

33000072 is a wasteful number, since it uses less digits than its factorization.

33000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196445 (or 196441 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 33000072 is about 5744.5689133302. The cubic root of 33000072 is about 320.7536662746.

The spelling of 33000072 in words is "thirty-three million, seventy-two", and thus it is an aban number and an uban number.