7166328 has 64 divisors (see below), whose sum is σ = 19568640. Its totient is φ = 2173824.

The previous prime is 7166321. The next prime is 7166339. The reversal of 7166328 is 8236617.

It is a Cunningham number, because it is equal to 2677²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7166321) 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 15 ways as a sum of consecutive naturals, for example, 32025 + ... + 32247.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^7166328 is an apocalyptic number.

7166328 is a gapful number since it is divisible by the number (78) 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 7166328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784320).

7166328 is an abundant number, since it is smaller than the sum of its proper divisors (12402312).

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

7166328 is a wasteful number, since it uses less digits than its factorization.

7166328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 7166328 is about 2676.9998132238. Note that the first 3 decimals coincide. The cubic root of 7166328 is about 192.7963883095.

The spelling of 7166328 in words is "seven million, one hundred sixty-six thousand, three hundred twenty-eight".