33037872 has 40 divisors (see below), whose sum is σ = 97541376. Its totient is φ = 9439296.

The previous prime is 33037871. The next prime is 33037883. The reversal of 33037872 is 27873033.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (33037871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48828 + ... + 49499.

Almost surely, 2^33037872 is an apocalyptic number.

It is an amenable number.

33037872 is an abundant number, since it is smaller than the sum of its proper divisors (64503504).

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

33037872 is a wasteful number, since it uses less digits than its factorization.

33037872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98345 (or 98339 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 33037872 is about 5747.8580358252. The cubic root of 33037872 is about 320.8760888579.

It can be divided in two parts, 3303 and 7872, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 33037872 in words is "thirty-three million, thirty-seven thousand, eight hundred seventy-two".