729076352 has 64 divisors (see below), whose sum is σ = 1534536960. Its totient is φ = 344494080.

The previous prime is 729076291. The next prime is 729076373. The reversal of 729076352 is 253670927.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168488 + ... + 172760.

It is an arithmetic number, because the mean of its divisors is an integer number (23977140).

Almost surely, 2^729076352 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 729076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767268480).

729076352 is an abundant number, since it is smaller than the sum of its proper divisors (805460608).

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

729076352 is a wasteful number, since it uses less digits than its factorization.

729076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 729076352 is about 27001.4138889059. The cubic root of 729076352 is about 900.0314194792.

The spelling of 729076352 in words is "seven hundred twenty-nine million, seventy-six thousand, three hundred fifty-two".