729216 has 64 divisors (see below), whose sum is σ = 2162400. Its totient is φ = 241920.

The previous prime is 729203. The next prime is 729217. The reversal of 729216 is 612927.

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1512) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 729216.

It is not an unprimeable number, because it can be changed into a prime (729217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3351 + ... + 3561.

2⁷²⁹²¹⁶ 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 729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081200).

729216 is an abundant number, since it is smaller than the sum of its proper divisors (1433184).

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

729216 is a wasteful number, since it uses less digits than its factorization.

729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 729216 is about 853.9414499835. The cubic root of 729216 is about 90.0088880111.

It can be divided in two parts, 72921 and 6, that added together give a palindrome (72927).

The spelling of 729216 in words is "seven hundred twenty-nine thousand, two hundred sixteen".