729182304 has 192 divisors, whose sum is σ = 2292998400. Its totient is φ = 224695296.

The previous prime is 729182297. The next prime is 729182383. The reversal of 729182304 is 403281927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705372 + ... + 706404.

It is an arithmetic number, because the mean of its divisors is an integer number (11942700).

Almost surely, 2^729182304 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 729182304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146499200).

729182304 is an abundant number, since it is smaller than the sum of its proper divisors (1563816096).

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

729182304 is a wasteful number, since it uses less digits than its factorization.

729182304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 729182304 is about 27003.3757889639. The cubic root of 729182304 is about 900.0750159694.

The spelling of 729182304 in words is "seven hundred twenty-nine million, one hundred eighty-two thousand, three hundred four".