33475872 has 48 divisors (see below), whose sum is σ = 92504160. Its totient is φ = 10570752.

The previous prime is 33475867. The next prime is 33475901. The reversal of 33475872 is 27857433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33475872² = 2241268012320768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33475872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7353 + ... + 11000.

It is an arithmetic number, because the mean of its divisors is an integer number (1927170).

Almost surely, 2^33475872 is an apocalyptic number.

33475872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33475872 is an abundant number, since it is smaller than the sum of its proper divisors (59028288).

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

33475872 is a wasteful number, since it uses less digits than its factorization.

33475872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18385 (or 18377 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 33475872 is about 5785.8337342167. The cubic root of 33475872 is about 322.2878744457.

The spelling of 33475872 in words is "thirty-three million, four hundred seventy-five thousand, eight hundred seventy-two".