7287168 has 64 divisors (see below), whose sum is σ = 22129920. Its totient is φ = 2081280.

The previous prime is 7287131. The next prime is 7287193. The reversal of 7287168 is 8617827.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 4043.

It is an arithmetic number, because the mean of its divisors is an integer number (345780).

Almost surely, 2^7287168 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 7287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064960).

7287168 is an abundant number, since it is smaller than the sum of its proper divisors (14842752).

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

7287168 is a wasteful number, since it uses less digits than its factorization.

7287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2723 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 7287168 is about 2699.4755046120. The cubic root of 7287168 is about 193.8740103774.

The spelling of 7287168 in words is "seven million, two hundred eighty-seven thousand, one hundred sixty-eight".