729832968 has 48 divisors (see below), whose sum is σ = 2001667200. Its totient is φ = 240196320.

The previous prime is 729832963. The next prime is 729832973. The reversal of 729832968 is 869238927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (729832963) and next prime (729832973).

It is a super-2 number, since 2×729832968² = 1065312322359378048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729832963) 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 11 ways as a sum of consecutive naturals, for example, 58468 + ... + 69843.

It is an arithmetic number, because the mean of its divisors is an integer number (41701400).

Almost surely, 2^729832968 is an apocalyptic number.

It is an amenable number.

729832968 is an abundant number, since it is smaller than the sum of its proper divisors (1271834232).

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

729832968 is a wasteful number, since it uses less digits than its factorization.

729832968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128402 (or 128395 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 729832968 is about 27015.4209295358. The cubic root of 729832968 is about 900.3426547106.

The spelling of 729832968 in words is "seven hundred twenty-nine million, eight hundred thirty-two thousand, nine hundred sixty-eight".