729391872 has 216 divisors, whose sum is σ = 2192214528. Its totient is φ = 215029760.

The previous prime is 729391867. The next prime is 729391879. The reversal of 729391872 is 278193927.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (729391879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4367533 + ... + 4367699.

Almost surely, 2^729391872 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 729391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096107264).

729391872 is an abundant number, since it is smaller than the sum of its proper divisors (1462822656).

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

729391872 is a wasteful number, since it uses less digits than its factorization.

729391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 230 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 729391872 is about 27007.2559139206. The cubic root of 729391872 is about 900.1612353104.

The spelling of 729391872 in words is "seven hundred twenty-nine million, three hundred ninety-one thousand, eight hundred seventy-two".