729737712 has 120 divisors (see below), whose sum is σ = 2345266560. Its totient is φ = 209485440.

The previous prime is 729737707. The next prime is 729737741. The reversal of 729737712 is 217737927.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17973 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (19543888).

Almost surely, 2^729737712 is an apocalyptic number.

729737712 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 729737712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172633280).

729737712 is an abundant number, since it is smaller than the sum of its proper divisors (1615528848).

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

729737712 is a wasteful number, since it uses less digits than its factorization.

729737712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24291 (or 24282 counting only the distinct ones).

The product of its digits is 259308, while the sum is 45.

The square root of 729737712 is about 27013.6578789323. The cubic root of 729737712 is about 900.3034828383.

The spelling of 729737712 in words is "seven hundred twenty-nine million, seven hundred thirty-seven thousand, seven hundred twelve".