17116272 has 100 divisors (see below), whose sum is σ = 50773536. Its totient is φ = 5564160.

The previous prime is 17116271. The next prime is 17116273. The reversal of 17116272 is 27261171.

It is an interprime number because it is at equal distance from previous prime (17116271) and next prime (17116273).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17116271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60772 + ... + 61052.

Almost surely, 2^17116272 is an apocalyptic number.

17116272 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 17116272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386768).

17116272 is an abundant number, since it is smaller than the sum of its proper divisors (33657264).

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

17116272 is a wasteful number, since it uses less digits than its factorization.

17116272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 17116272 is about 4137.1816493840. The cubic root of 17116272 is about 257.7130395188.

The spelling of 17116272 in words is "seventeen million, one hundred sixteen thousand, two hundred seventy-two".