729308160 has 792 divisors, whose sum is σ = 3276346320. Its totient is φ = 148635648.

The previous prime is 729308159. The next prime is 729308161. The reversal of 729308160 is 61803927.

It is an interprime number because it is at equal distance from previous prime (729308159) and next prime (729308161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729308161) 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, 38384631 + ... + 38384649.

Almost surely, 2^729308160 is an apocalyptic number.

729308160 is a gapful number since it is divisible by the number (70) 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 729308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638173160).

729308160 is an abundant number, since it is smaller than the sum of its proper divisors (2547038160).

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

729308160 is a wasteful number, since it uses less digits than its factorization.

729308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 729308160 is about 27005.7060637192. The cubic root of 729308160 is about 900.1267969501.

The spelling of 729308160 in words is "seven hundred twenty-nine million, three hundred eight thousand, one hundred sixty".