729536760 has 128 divisors (see below), whose sum is σ = 2515752000. Its totient is φ = 187826688.

The previous prime is 729536713. The next prime is 729536761. The reversal of 729536760 is 67635927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729536761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19674 + ... + 42966.

Almost surely, 2^729536760 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 729536760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257876000).

729536760 is an abundant number, since it is smaller than the sum of its proper divisors (1786215240).

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

729536760 is a wasteful number, since it uses less digits than its factorization.

729536760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23342 (or 23332 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 729536760 is about 27009.9381709770. The cubic root of 729536760 is about 900.2208346978.

The spelling of 729536760 in words is "seven hundred twenty-nine million, five hundred thirty-six thousand, seven hundred sixty".