729376128 has 192 divisors, whose sum is σ = 2285599680. Its totient is φ = 221921280.

The previous prime is 729376121. The next prime is 729376139. The reversal of 729376128 is 821673927.

729376128 is a `hidden beast` number, since 7 + 29 + 3 + 7 + 612 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729376121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692073 + ... + 1692503.

It is an arithmetic number, because the mean of its divisors is an integer number (11904165).

Almost surely, 2^729376128 is an apocalyptic number.

729376128 is a gapful number since it is divisible by the number (78) 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 729376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142799840).

729376128 is an abundant number, since it is smaller than the sum of its proper divisors (1556223552).

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

729376128 is a wasteful number, since it uses less digits than its factorization.

729376128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 729376128 is about 27006.9644351230. The cubic root of 729376128 is about 900.1547585723.

The spelling of 729376128 in words is "seven hundred twenty-nine million, three hundred seventy-six thousand, one hundred twenty-eight".