7166304 has 72 divisors (see below), whose sum is σ = 20638800. Its totient is φ = 2358528.

The previous prime is 7166297. The next prime is 7166321. The reversal of 7166304 is 4036617.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42829 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^7166304 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 7166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319400).

7166304 is an abundant number, since it is smaller than the sum of its proper divisors (13472496).

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

7166304 is a wasteful number, since it uses less digits than its factorization.

7166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7166304 is about 2676.9953305899. The cubic root of 7166304 is about 192.7961730845.

The spelling of 7166304 in words is "seven million, one hundred sixty-six thousand, three hundred four".