17072 has 20 divisors (see below), whose sum is σ = 36456. Its totient is φ = 7680.

The previous prime is 17053. The next prime is 17077. The reversal of 17072 is 27071.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 17072.

It is not an unprimeable number, because it can be changed into a prime (17077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 224.

2¹⁷⁰⁷² 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 17072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228).

17072 is an abundant number, since it is smaller than the sum of its proper divisors (19384).

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

17072 is a wasteful number, since it uses less digits than its factorization.

17072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 17072 is about 130.6598637685. The cubic root of 17072 is about 25.7490652251.

Subtracting 17072 from its reverse (27071), we obtain a palindrome (9999).

It can be divided in two parts, 170 and 72, that added together give a palindrome (242).

The spelling of 17072 in words is "seventeen thousand, seventy-two", and thus it is an iban number.