729000216 has 256 divisors, whose sum is σ = 2428108800. Its totient is φ = 198288000.

The previous prime is 729000191. The next prime is 729000269. The reversal of 729000216 is 612000927.

729000216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 729000216 = 6³ + 900³ = 438³ + 864³.

It is a self number, because there is not a number n which added to its sum of digits gives 729000216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4827741 + ... + 4827891.

It is an arithmetic number, because the mean of its divisors is an integer number (9484800).

Almost surely, 2^729000216 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 729000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214054400).

729000216 is an abundant number, since it is smaller than the sum of its proper divisors (1699108584).

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

729000216 is a wasteful number, since it uses less digits than its factorization.

729000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

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

The square root of 729000216 is about 27000.0039999997. The cubic root of 729000216 is about 900.0000888889. Note that the first 4 decimals are identical.

It can be divided in two parts, 729000 and 216, that multiplied together give a cube (157464000 = 540³).

The spelling of 729000216 in words is "seven hundred twenty-nine million, two hundred sixteen", and thus it is an aban number.