7168 has 22 divisors (see below), whose sum is σ = 16376. Its totient is φ = 3072.

The previous prime is 7159. The next prime is 7177. The reversal of 7168 is 8617.

It can be divided in two parts, 7 and 168, that multiplied together give a triangular number (1176 = T_{48}).

It is an interprime number because it is at equal distance from previous prime (7159) and next prime (7177).

It is a plaindrome in base 13.

It is a nialpdrome in base 2.

It is a zygodrome in base 2 and base 13.

It is a congruent number.

It is an unprimeable number.

7168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021 + ... + 1027.

2^{7168} 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 7168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188).

7168 is an abundant number, since it is smaller than the sum of its proper divisors (9208).

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

7168 is an equidigital number, since it uses as much as digits as its factorization.

7168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27 (or 9 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 7168 is about 84.6640419541. The cubic root of 7168 is about 19.2811381134.

The spelling of 7168 in words is "seven thousand, one hundred sixty-eight".

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