7132164 has 48 divisors (see below), whose sum is σ = 18110400. Its totient is φ = 2171520.

The previous prime is 7132159. The next prime is 7132171. The reversal of 7132164 is 4612317.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20262 + ... + 20610.

It is an arithmetic number, because the mean of its divisors is an integer number (377300).

Almost surely, 2^7132164 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 7132164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055200).

7132164 is an abundant number, since it is smaller than the sum of its proper divisors (10978236).

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

7132164 is a wasteful number, since it uses less digits than its factorization.

7132164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 498 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 7132164 is about 2670.6111660068. The cubic root of 7132164 is about 192.4895277375.

The spelling of 7132164 in words is "seven million, one hundred thirty-two thousand, one hundred sixty-four".