729863112 has 128 divisors (see below), whose sum is σ = 2107814400. Its totient is φ = 208281600.

The previous prime is 729863089. The next prime is 729863119. The reversal of 729863112 is 211368927.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (729863119) 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 31 ways as a sum of consecutive naturals, for example, 1138312 + ... + 1138952.

It is an arithmetic number, because the mean of its divisors is an integer number (16467300).

Almost surely, 2^729863112 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 729863112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053907200).

729863112 is an abundant number, since it is smaller than the sum of its proper divisors (1377951288).

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

729863112 is a wasteful number, since it uses less digits than its factorization.

729863112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 729863112 is about 27015.9788273533. The cubic root of 729863112 is about 900.3550500378.

The spelling of 729863112 in words is "seven hundred twenty-nine million, eight hundred sixty-three thousand, one hundred twelve".