729283296 has 96 divisors (see below), whose sum is σ = 2193101568. Its totient is φ = 207866880.

The previous prime is 729283253. The next prime is 729283297. The reversal of 729283296 is 692382927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729283297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349071 + ... + 351153.

It is an arithmetic number, because the mean of its divisors is an integer number (22844808).

Almost surely, 2^729283296 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 729283296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096550784).

729283296 is an abundant number, since it is smaller than the sum of its proper divisors (1463818272).

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

729283296 is a wasteful number, since it uses less digits than its factorization.

729283296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2616 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 729283296 is about 27005.2457126389. The cubic root of 729283296 is about 900.1165676176.

The spelling of 729283296 in words is "seven hundred twenty-nine million, two hundred eighty-three thousand, two hundred ninety-six".