729740128 has 48 divisors (see below), whose sum is σ = 1553138496. Its totient is φ = 335508480.

The previous prime is 729740083. The next prime is 729740149. The reversal of 729740128 is 821047927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109500 + ... + 115972.

It is an arithmetic number, because the mean of its divisors is an integer number (32357052).

Almost surely, 2^729740128 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 729740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776569248).

729740128 is an abundant number, since it is smaller than the sum of its proper divisors (823398368).

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

729740128 is a wasteful number, since it uses less digits than its factorization.

729740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 729740128 is about 27013.7025970155. The cubic root of 729740128 is about 900.3044764057.

The spelling of 729740128 in words is "seven hundred twenty-nine million, seven hundred forty thousand, one hundred twenty-eight".