17122272 has 48 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 5608832.

The previous prime is 17122243. The next prime is 17122277. The reversal of 17122272 is 27222171.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17122277) 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, 4153 + ... + 7175.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^17122272 is an apocalyptic number.

17122272 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 17122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

17122272 is an abundant number, since it is smaller than the sum of its proper divisors (28600608).

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

17122272 is a wasteful number, since it uses less digits than its factorization.

17122272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3087 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 17122272 is about 4137.9067171699. The cubic root of 17122272 is about 257.7431492216.

The spelling of 17122272 in words is "seventeen million, one hundred twenty-two thousand, two hundred seventy-two".