729473360 has 160 divisors (see below), whose sum is σ = 2142720000. Its totient is φ = 224340480.

The previous prime is 729473347. The next prime is 729473377. The reversal of 729473360 is 63374927.

729473360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 485891 + ... + 487389.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2^729473360 is an apocalyptic number.

729473360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729473360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

729473360 is an abundant number, since it is smaller than the sum of its proper divisors (1413246640).

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

729473360 is a wasteful number, since it uses less digits than its factorization.

729473360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 41.

The square root of 729473360 is about 27008.7645033978. The cubic root of 729473360 is about 900.1947562064.

The spelling of 729473360 in words is "seven hundred twenty-nine million, four hundred seventy-three thousand, three hundred sixty".