727168 has 64 divisors (see below), whose sum is σ = 1713600. Its totient is φ = 304128.

The previous prime is 727159. The next prime is 727169. The reversal of 727168 is 861727.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (727169) by changing a digit.

727168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31605 + ... + 31627.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

2⁷²⁷¹⁶⁸ 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 727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800).

727168 is an abundant number, since it is smaller than the sum of its proper divisors (986432).

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

727168 is a wasteful number, since it uses less digits than its factorization.

727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 727168 is about 852.7414614055. The cubic root of 727168 is about 89.9245458119.

The spelling of 727168 in words is "seven hundred twenty-seven thousand, one hundred sixty-eight".