729212224 has 56 divisors (see below), whose sum is σ = 1596423528. Its totient is φ = 328335360.

The previous prime is 729212219. The next prime is 729212251. The reversal of 729212224 is 422212927.

It is a happy number.

729212224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 645160000 = 9168^2 + 25400^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23424 + ... + 44800.

It is an arithmetic number, because the mean of its divisors is an integer number (28507563).

Almost surely, 2^729212224 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 729212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798211764).

729212224 is an abundant number, since it is smaller than the sum of its proper divisors (867211304).

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

729212224 is a wasteful number, since it uses less digits than its factorization.

729212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443 (or 21433 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 729212224 is about 27003.9297880883. The cubic root of 729212224 is about 900.0873265059.

The spelling of 729212224 in words is "seven hundred twenty-nine million, two hundred twelve thousand, two hundred twenty-four".