33301872 has 60 divisors (see below), whose sum is σ = 93644304. Its totient is φ = 11047680.

The previous prime is 33301871. The next prime is 33301921. The reversal of 33301872 is 27810333.

It is a super-2 number, since 2×33301872² = 2218029357408768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33301871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40053 + ... + 40875.

Almost surely, 2^33301872 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 33301872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46822152).

33301872 is an abundant number, since it is smaller than the sum of its proper divisors (60342432).

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

33301872 is a wasteful number, since it uses less digits than its factorization.

33301872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 33301872 is about 5770.7774172983. Note that the first 3 decimals coincide. The cubic root of 33301872 is about 321.7285110521.

The spelling of 33301872 in words is "thirty-three million, three hundred one thousand, eight hundred seventy-two".