729535716 has 216 divisors, whose sum is σ = 2392036920. Its totient is φ = 185601024.

The previous prime is 729535711. The next prime is 729535753. The reversal of 729535716 is 617535927.

729535716 is a `hidden beast` number, since 7 + 29 + 53 + 571 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 722534400 = 2646^2 + 26880^2 .

It is not an unprimeable number, because it can be changed into a prime (729535711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664480 + ... + 665576.

It is an arithmetic number, because the mean of its divisors is an integer number (11074245).

Almost surely, 2^729535716 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 729535716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196018460).

729535716 is an abundant number, since it is smaller than the sum of its proper divisors (1662501204).

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

729535716 is a wasteful number, since it uses less digits than its factorization.

729535716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1151 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 729535716 is about 27009.9188447503. The cubic root of 729535716 is about 900.2204052788.

The spelling of 729535716 in words is "seven hundred twenty-nine million, five hundred thirty-five thousand, seven hundred sixteen".