33265872 has 120 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 10257408.

The previous prime is 33265867. The next prime is 33265879. The reversal of 33265872 is 27856233.

It is a super-2 number, since 2×33265872² = 2213236479840768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33265879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261873 + ... + 261999.

Almost surely, 2^33265872 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 33265872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

33265872 is an abundant number, since it is smaller than the sum of its proper divisors (67013424).

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

33265872 is a wasteful number, since it uses less digits than its factorization.

33265872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 33265872 is about 5767.6574100756. The cubic root of 33265872 is about 321.6125375672.

The spelling of 33265872 in words is "thirty-three million, two hundred sixty-five thousand, eight hundred seventy-two".