729471744 has 180 divisors, whose sum is σ = 2200194304. Its totient is φ = 240371712.

The previous prime is 729471697. The next prime is 729471763. The reversal of 729471744 is 447174927.

729471744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 729471744.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2633334 + ... + 2633610.

Almost surely, 2^729471744 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 729471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100097152).

729471744 is an abundant number, since it is smaller than the sum of its proper divisors (1470722560).

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

729471744 is a wasteful number, since it uses less digits than its factorization.

729471744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 729471744 is about 27008.7345871664. The cubic root of 729471744 is about 900.1940914731.

It can be divided in two parts, 72947 and 1744, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 729471744 in words is "seven hundred twenty-nine million, four hundred seventy-one thousand, seven hundred forty-four".