729784432 has 80 divisors (see below), whose sum is σ = 1622708640. Its totient is φ = 314966016.

The previous prime is 729784427. The next prime is 729784439. The reversal of 729784432 is 234487927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729784439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632368 + ... + 633520.

It is an arithmetic number, because the mean of its divisors is an integer number (20283858).

Almost surely, 2^729784432 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 729784432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811354320).

729784432 is an abundant number, since it is smaller than the sum of its proper divisors (892924208).

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

729784432 is a wasteful number, since it uses less digits than its factorization.

729784432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 729784432 is about 27014.5226128466. The cubic root of 729784432 is about 900.3226958059.

The spelling of 729784432 in words is "seven hundred twenty-nine million, seven hundred eighty-four thousand, four hundred thirty-two".