729759712 has 144 divisors (see below), whose sum is σ = 1675129680. Its totient is φ = 312238080.

The previous prime is 729759689. The next prime is 729759739. The reversal of 729759712 is 217957927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7523248 + ... + 7523344.

It is an arithmetic number, because the mean of its divisors is an integer number (11632845).

Almost surely, 2^729759712 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 729759712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837564840).

729759712 is an abundant number, since it is smaller than the sum of its proper divisors (945369968).

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

729759712 is a wasteful number, since it uses less digits than its factorization.

729759712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its digits is 555660, while the sum is 49.

The square root of 729759712 is about 27014.0650772889. The cubic root of 729759712 is about 900.3125301427.

The spelling of 729759712 in words is "seven hundred twenty-nine million, seven hundred fifty-nine thousand, seven hundred twelve".