729676512 has 168 divisors, whose sum is σ = 2225522880. Its totient is φ = 235146240.

The previous prime is 729676477. The next prime is 729676517. The reversal of 729676512 is 215676927.

729676512 is a `hidden beast` number, since 72 + 9 + 67 + 6 + 512 = 666.

It is a super-2 number, since 2×729676512² = 1064855624328972288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729676517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 722664 + ... + 723672.

It is an arithmetic number, because the mean of its divisors is an integer number (13247160).

Almost surely, 2^729676512 is an apocalyptic number.

729676512 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 729676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112761440).

729676512 is an abundant number, since it is smaller than the sum of its proper divisors (1495846368).

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

729676512 is a wasteful number, since it uses less digits than its factorization.

729676512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1045 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 729676512 is about 27012.5250948518. The cubic root of 729676512 is about 900.2783139260.

The spelling of 729676512 in words is "seven hundred twenty-nine million, six hundred seventy-six thousand, five hundred twelve".