729936 has 60 divisors (see below), whose sum is σ = 2113332. Its totient is φ = 235008.

The previous prime is 729931. The next prime is 729941. The reversal of 729936 is 639927.

It is an interprime number because it is at equal distance from previous prime (729931) and next prime (729941).

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 176400 = 744^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 729936.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729936.

It is not an unprimeable number, because it can be changed into a prime (729931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5260 + ... + 5396.

2⁷²⁹⁹³⁶ 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 729936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056666).

729936 is an abundant number, since it is smaller than the sum of its proper divisors (1383396).

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

729936 is a wasteful number, since it uses less digits than its factorization.

729936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 729936 is about 854.3629205437. The cubic root of 729936 is about 90.0385020450.

Subtracting from 729936 its reverse (639927), we obtain a palindrome (90009).

The spelling of 729936 in words is "seven hundred twenty-nine thousand, nine hundred thirty-six".