729754128 has 120 divisors (see below), whose sum is σ = 2170396800. Its totient is φ = 228241152.

The previous prime is 729754127. The next prime is 729754133. The reversal of 729754128 is 821457927.

It is a happy number.

729754128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (729754127) 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, 297001 + ... + 299447.

It is an arithmetic number, because the mean of its divisors is an integer number (18086640).

Almost surely, 2^729754128 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 729754128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085198400).

729754128 is an abundant number, since it is smaller than the sum of its proper divisors (1440642672).

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

729754128 is a wasteful number, since it uses less digits than its factorization.

729754128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2580 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 729754128 is about 27013.9617235236. The cubic root of 729754128 is about 900.3102337896.

It can be divided in two parts, 7297 and 54128, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 729754128 in words is "seven hundred twenty-nine million, seven hundred fifty-four thousand, one hundred twenty-eight".