729287172 has 96 divisors (see below), whose sum is σ = 1955923200. Its totient is φ = 234835200.

The previous prime is 729287171. The next prime is 729287173. The reversal of 729287172 is 271782927.

It is an interprime number because it is at equal distance from previous prime (729287171) and next prime (729287173).

It is not an unprimeable number, because it can be changed into a prime (729287171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481897 + ... + 483407.

It is an arithmetic number, because the mean of its divisors is an integer number (20374200).

Almost surely, 2^729287172 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 729287172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977961600).

729287172 is an abundant number, since it is smaller than the sum of its proper divisors (1226636028).

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

729287172 is a wasteful number, since it uses less digits than its factorization.

729287172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1666 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 729287172 is about 27005.3174763786. The cubic root of 729287172 is about 900.1181622634.

The spelling of 729287172 in words is "seven hundred twenty-nine million, two hundred eighty-seven thousand, one hundred seventy-two".