729468 has 36 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 232320.

The previous prime is 729457. The next prime is 729473. The reversal of 729468 is 864927.

729468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×729468³ = 1164501333815973696, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

729468 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 11 ways as a sum of consecutive naturals, for example, 388 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

2⁷²⁹⁴⁶⁸ 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 729468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963144).

729468 is an abundant number, since it is smaller than the sum of its proper divisors (1196820).

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

729468 is a wasteful number, since it uses less digits than its factorization.

729468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 909 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 729468 is about 854.0889883379. The cubic root of 729468 is about 90.0192551394.

The spelling of 729468 in words is "seven hundred twenty-nine thousand, four hundred sixty-eight".