17233272 has 96 divisors (see below), whose sum is σ = 55111680. Its totient is φ = 4760640.

The previous prime is 17233267. The next prime is 17233273. The reversal of 17233272 is 27233271.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17233273) 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 23 ways as a sum of consecutive naturals, for example, 15073 + ... + 16175.

It is an arithmetic number, because the mean of its divisors is an integer number (574080).

Almost surely, 2^17233272 is an apocalyptic number.

17233272 is a gapful number since it is divisible by the number (12) 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 17233272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27555840).

17233272 is an abundant number, since it is smaller than the sum of its proper divisors (37878408).

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

17233272 is a wasteful number, since it uses less digits than its factorization.

17233272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1146 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 17233272 is about 4151.2976284531. The cubic root of 17233272 is about 258.2989144108.

Subtracting 17233272 from its reverse (27233271), we obtain a palindrome (9999999).

It can be divided in two parts, 17 and 233272, that added together give a square (233289 = 483²).

The spelling of 17233272 in words is "seventeen million, two hundred thirty-three thousand, two hundred seventy-two".