729168 has 40 divisors (see below), whose sum is σ = 2056416. Its totient is φ = 220800.

The previous prime is 729143. The next prime is 729173. The reversal of 729168 is 861927.

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

It is a congruent number.

It is an unprimeable number.

729168 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, 163 + ... + 1218.

2⁷²⁹¹⁶⁸ 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 729168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028208).

729168 is an abundant number, since it is smaller than the sum of its proper divisors (1327248).

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

729168 is a wasteful number, since it uses less digits than its factorization.

729168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 729168 is about 853.9133445497. The cubic root of 729168 is about 90.0069130492.

The spelling of 729168 in words is "seven hundred twenty-nine thousand, one hundred sixty-eight".