7257168 has 80 divisors (see below), whose sum is σ = 21159360. Its totient is φ = 2381184.

The previous prime is 7257157. The next prime is 7257179. The reversal of 7257168 is 8617527.

7257168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7257157) and next prime (7257179).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

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, 46146 + ... + 46302.

It is an arithmetic number, because the mean of its divisors is an integer number (264492).

Almost surely, 2^7257168 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 7257168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579680).

7257168 is an abundant number, since it is smaller than the sum of its proper divisors (13902192).

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

7257168 is a wasteful number, since it uses less digits than its factorization.

7257168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 7257168 is about 2693.9131389115. The cubic root of 7257168 is about 193.6075959499.

The spelling of 7257168 in words is "seven million, two hundred fifty-seven thousand, one hundred sixty-eight".