729829056 has 112 divisors (see below), whose sum is σ = 2142622080. Its totient is φ = 217374720.

The previous prime is 729829049. The next prime is 729829073. The reversal of 729829056 is 650928927.

It is a super-2 number, since 2×729829056² = 1065300901963702272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 729828996 and 729829014.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121680 + ... + 127536.

Almost surely, 2^729829056 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 729829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071311040).

729829056 is an abundant number, since it is smaller than the sum of its proper divisors (1412793024).

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

729829056 is a wasteful number, since it uses less digits than its factorization.

729829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 729829056 is about 27015.3485263470. The cubic root of 729829056 is about 900.3410460563.

The spelling of 729829056 in words is "seven hundred twenty-nine million, eight hundred twenty-nine thousand, fifty-six".