729582908112 has 240 divisors, whose sum is σ = 2134604983680. Its totient is φ = 232399715328.

The previous prime is 729582908071. The next prime is 729582908129. The reversal of 729582908112 is 211809285927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128151538 + ... + 128157230.

It is an arithmetic number, because the mean of its divisors is an integer number (8894187432).

Almost surely, 2^729582908112 is an apocalyptic number.

729582908112 is a gapful number since it is divisible by the number (72) 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 729582908112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067302491840).

729582908112 is an abundant number, since it is smaller than the sum of its proper divisors (1405022075568).

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

729582908112 is a wasteful number, since it uses less digits than its factorization.

729582908112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 729582908112 in words is "seven hundred twenty-nine billion, five hundred eighty-two million, nine hundred eight thousand, one hundred twelve".