7131168 has 72 divisors (see below), whose sum is σ = 22132656. Its totient is φ = 2160000.

The previous prime is 7131139. The next prime is 7131191. The reversal of 7131168 is 8611317.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2043 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (307398).

Almost surely, 2^7131168 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 7131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066328).

7131168 is an abundant number, since it is smaller than the sum of its proper divisors (15001488).

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

7131168 is a wasteful number, since it uses less digits than its factorization.

7131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2267 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 7131168 is about 2670.4246853263. The cubic root of 7131168 is about 192.4805669931.

It can be divided in two parts, 713 and 1168, that added together give a palindrome (1881).

The spelling of 7131168 in words is "seven million, one hundred thirty-one thousand, one hundred sixty-eight".