7263168 has 112 divisors (see below), whose sum is σ = 22189440. Its totient is φ = 2073600.

The previous prime is 7263163. The next prime is 7263197. The reversal of 7263168 is 8613627.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12096) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7263161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40038 + ... + 40218.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 2^7263168 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 7263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094720).

7263168 is an abundant number, since it is smaller than the sum of its proper divisors (14926272).

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

7263168 is a wasteful number, since it uses less digits than its factorization.

7263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 7263168 is about 2695.0265304817. The cubic root of 7263168 is about 193.6609374915.

It can be divided in two parts, 726 and 3168, that multiplied together give a cube (2299968 = 132³).

The spelling of 7263168 in words is "seven million, two hundred sixty-three thousand, one hundred sixty-eight".