729725744 has 40 divisors (see below), whose sum is σ = 1554567168. Its totient is φ = 329071680.

The previous prime is 729725699. The next prime is 729725797. The reversal of 729725744 is 447527927.

It is a happy number.

It is a super-2 number, since 2×729725744² = 1064999322912707072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6029 + ... + 38675.

Almost surely, 2^729725744 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 729725744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777283584).

729725744 is an abundant number, since it is smaller than the sum of its proper divisors (824841424).

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

729725744 is a wasteful number, since it uses less digits than its factorization.

729725744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32793 (or 32787 counting only the distinct ones).

The product of its digits is 987840, while the sum is 47.

The square root of 729725744 is about 27013.4363604485. The cubic root of 729725744 is about 900.2985610284.

The spelling of 729725744 in words is "seven hundred twenty-nine million, seven hundred twenty-five thousand, seven hundred forty-four".