33136872 has 64 divisors (see below), whose sum is σ = 85536000. Its totient is φ = 10692864.

The previous prime is 33136871. The next prime is 33136877. The reversal of 33136872 is 27863133.

It is not an unprimeable number, because it can be changed into a prime (33136871) 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 15 ways as a sum of consecutive naturals, for example, 138529 + ... + 138767.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 2^33136872 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 33136872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768000).

33136872 is an abundant number, since it is smaller than the sum of its proper divisors (52399128).

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

33136872 is a wasteful number, since it uses less digits than its factorization.

33136872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 33136872 is about 5756.4634976694. The cubic root of 33136872 is about 321.1962775109.

The spelling of 33136872 in words is "thirty-three million, one hundred thirty-six thousand, eight hundred seventy-two".