729375648 has 96 divisors (see below), whose sum is σ = 2038478400. Its totient is φ = 227690496.

The previous prime is 729375613. The next prime is 729375671. The reversal of 729375648 is 846573927.

729375648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 729375648.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160090 + ... + 164582.

It is an arithmetic number, because the mean of its divisors is an integer number (21234150).

Almost surely, 2^729375648 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 729375648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019239200).

729375648 is an abundant number, since it is smaller than the sum of its proper divisors (1309102752).

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

729375648 is a wasteful number, since it uses less digits than its factorization.

729375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4606 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 729375648 is about 27006.9555485249. The cubic root of 729375648 is about 900.1545611093.

The spelling of 729375648 in words is "seven hundred twenty-nine million, three hundred seventy-five thousand, six hundred forty-eight".