723168 has 84 divisors (see below), whose sum is σ = 2203488. Its totient is φ = 233280.

The previous prime is 723167. The next prime is 723169. The reversal of 723168 is 861327.

It is an interprime number because it is at equal distance from previous prime (723167) and next prime (723169).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23313 + ... + 23343.

It is an arithmetic number, because the mean of its divisors is an integer number (26232).

723168 is a Friedman number, since it can be written as (31*6^8)/72, using all its digits and the basic arithmetic operations.

2⁷²³¹⁶⁸ 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 723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101744).

723168 is an abundant number, since it is smaller than the sum of its proper divisors (1480320).

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

723168 is an equidigital number, since it uses as much as digits as its factorization.

723168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 723168 is about 850.3928503933. The cubic root of 723168 is about 89.7593571403.

It can be divided in two parts, 72 and 3168, that added together give a triangular number (3240 = T₈₀).

The spelling of 723168 in words is "seven hundred twenty-three thousand, one hundred sixty-eight".