7164144 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 2128896.

The previous prime is 7164139. The next prime is 7164151. The reversal of 7164144 is 4414617.

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 80452 + ... + 80540.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^7164144 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 7164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

7164144 is an abundant number, since it is smaller than the sum of its proper divisors (15178176).

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

7164144 is a wasteful number, since it uses less digits than its factorization.

7164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 7164144 is about 2676.5918627987. The cubic root of 7164144 is about 192.7768008679.

The spelling of 7164144 in words is "seven million, one hundred sixty-four thousand, one hundred forty-four".