33272000 has 56 divisors (see below), whose sum is σ = 82417920. Its totient is φ = 13305600.

The previous prime is 33271967. The next prime is 33272011. The reversal of 33272000 is 27233.

33272000 = 445² + 446² + ... + 572².

It is a super-2 number, since 2×33272000² = 2214051968000000, 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 33272000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5921 + ... + 10079.

Almost surely, 2^33272000 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 33272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41208960).

33272000 is an abundant number, since it is smaller than the sum of its proper divisors (49145920).

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

33272000 is an equidigital number, since it uses as much as digits as its factorization.

33272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 33272000 is about 5768.1886238229. The cubic root of 33272000 is about 321.6322847386.

Adding to 33272000 its reverse (27233), we get a palindrome (33299233).

The spelling of 33272000 in words is "thirty-three million, two hundred seventy-two thousand".