729144 has 96 divisors (see below), whose sum is σ = 2293200. Its totient is φ = 207360.

The previous prime is 729143. The next prime is 729173. The reversal of 729144 is 441927.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729143) 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 23 ways as a sum of consecutive naturals, for example, 17764 + ... + 17804.

2⁷²⁹¹⁴⁴ 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 729144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146600).

729144 is an abundant number, since it is smaller than the sum of its proper divisors (1564056).

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

729144 is a wasteful number, since it uses less digits than its factorization.

729144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

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

The square root of 729144 is about 853.8992914858. The cubic root of 729144 is about 90.0059255358.

It can be divided in two parts, 729 and 144, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 729144 in words is "seven hundred twenty-nine thousand, one hundred forty-four".