33198272 has 56 divisors (see below), whose sum is σ = 70469760. Its totient is φ = 15482880.

The previous prime is 33198271. The next prime is 33198281. The reversal of 33198272 is 27289133.

It is a super-2 number, since 2×33198272² = 2204250527571968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33198271) 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 7 ways as a sum of consecutive naturals, for example, 57248 + ... + 57824.

Almost surely, 2^33198272 is an apocalyptic number.

33198272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234880).

33198272 is an abundant number, since it is smaller than the sum of its proper divisors (37271488).

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

33198272 is a wasteful number, since it uses less digits than its factorization.

33198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 33198272 is about 5761.7941650149. The cubic root of 33198272 is about 321.3945388636.

The spelling of 33198272 in words is "thirty-three million, one hundred ninety-eight thousand, two hundred seventy-two".