33872568 has 64 divisors (see below), whose sum is σ = 91199520. Its totient is φ = 10444800.

The previous prime is 33872563. The next prime is 33872569. The reversal of 33872568 is 86527833.

It is a super-2 number, since 2×33872568² = 2294701725829248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24208 + ... + 25568.

Almost surely, 2^33872568 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 33872568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45599760).

33872568 is an abundant number, since it is smaller than the sum of its proper divisors (57326952).

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

33872568 is a wasteful number, since it uses less digits than its factorization.

33872568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 33872568 is about 5820.0144329718. The cubic root of 33872568 is about 323.5559379216. Note that the first 3 decimals are identical.

The spelling of 33872568 in words is "thirty-three million, eight hundred seventy-two thousand, five hundred sixty-eight".