729016320 has 192 divisors, whose sum is σ = 2457000000. Its totient is φ = 184025088.

The previous prime is 729016273. The next prime is 729016333. The reversal of 729016320 is 23610927.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 583056 + ... + 584304.

It is an arithmetic number, because the mean of its divisors is an integer number (12796875).

Almost surely, 2^729016320 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 729016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228500000).

729016320 is an abundant number, since it is smaller than the sum of its proper divisors (1727983680).

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

729016320 is a wasteful number, since it uses less digits than its factorization.

729016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 729016320 is about 27000.3022205308. The cubic root of 729016320 is about 900.0067159993.

The spelling of 729016320 in words is "seven hundred twenty-nine million, sixteen thousand, three hundred twenty".