729696 has 48 divisors (see below), whose sum is σ = 2092608. Its totient is φ = 220800.

The previous prime is 729689. The next prime is 729713. The reversal of 729696 is 696927.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

729696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (43596).

2⁷²⁹⁶⁹⁶ 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 729696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046304).

729696 is an abundant number, since it is smaller than the sum of its proper divisors (1362912).

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

729696 is a wasteful number, since it uses less digits than its factorization.

729696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 729696 is about 854.2224534628. Note that the first 3 decimals coincide. The cubic root of 729696 is about 90.0286328650.

The spelling of 729696 in words is "seven hundred twenty-nine thousand, six hundred ninety-six".