729334944 has 144 divisors (see below), whose sum is σ = 2261462112. Its totient is φ = 221612544.

The previous prime is 729334939. The next prime is 729334987. The reversal of 729334944 is 449433927.

729334944 is a `hidden beast` number, since 72 + 93 + 3 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 729334944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309579 + ... + 311925.

It is an arithmetic number, because the mean of its divisors is an integer number (15704598).

Almost surely, 2^729334944 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 729334944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130731056).

729334944 is an abundant number, since it is smaller than the sum of its proper divisors (1532127168).

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

729334944 is a wasteful number, since it uses less digits than its factorization.

729334944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2448 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 729334944 is about 27006.2019543660. The cubic root of 729334944 is about 900.1378159324.

It can be divided in two parts, 72933 and 4944, that added together give a palindrome (77877).

The spelling of 729334944 in words is "seven hundred twenty-nine million, three hundred thirty-four thousand, nine hundred forty-four".