33021072 has 240 divisors, whose sum is σ = 116992512. Its totient is φ = 8478720.

The previous prime is 33021071. The next prime is 33021083. The reversal of 33021072 is 27012033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33021071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702553 + ... + 702599.

Almost surely, 2^33021072 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 33021072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

33021072 is an abundant number, since it is smaller than the sum of its proper divisors (83971440).

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

33021072 is a wasteful number, since it uses less digits than its factorization.

33021072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 33021072 is about 5746.3964360284. The cubic root of 33021072 is about 320.8216903554.

The spelling of 33021072 in words is "thirty-three million, twenty-one thousand, seventy-two".