729452688 has 60 divisors (see below), whose sum is σ = 1929497040. Its totient is φ = 237467328.

The previous prime is 729452687. The next prime is 729452699. The reversal of 729452688 is 886254927.

It is a self number, because there is not a number n which added to its sum of digits gives 729452688.

It is not an unprimeable number, because it can be changed into a prime (729452687) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84643 + ... + 92861.

It is an arithmetic number, because the mean of its divisors is an integer number (32158284).

Almost surely, 2^729452688 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 729452688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964748520).

729452688 is an abundant number, since it is smaller than the sum of its proper divisors (1200044352).

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

729452688 is a wasteful number, since it uses less digits than its factorization.

729452688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8267 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 729452688 is about 27008.3818100974. The cubic root of 729452688 is about 900.1862528108.

The spelling of 729452688 in words is "seven hundred twenty-nine million, four hundred fifty-two thousand, six hundred eighty-eight".