729819072 has 140 divisors (see below), whose sum is σ = 2257842576. Its totient is φ = 232657920.

The previous prime is 729819059. The next prime is 729819109. The reversal of 729819072 is 270918927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116172 + ... + 122292.

Almost surely, 2^729819072 is an apocalyptic number.

729819072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128921288).

729819072 is an abundant number, since it is smaller than the sum of its proper divisors (1528023504).

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

729819072 is a wasteful number, since it uses less digits than its factorization.

729819072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 729819072 is about 27015.1637418691. The cubic root of 729819072 is about 900.3369405077.

The spelling of 729819072 in words is "seven hundred twenty-nine million, eight hundred nineteen thousand, seventy-two".