729352 has 16 divisors (see below), whose sum is σ = 1472940. Its totient is φ = 336576.

The previous prime is 729331. The next prime is 729359. The reversal of 729352 is 253927.

It can be written as a sum of positive squares in 2 ways, for example, as 729316 + 36 = 854^2 + 6^2 .

It is a d-powerful number, because it can be written as 7⁶ + 2³ + 3¹² + 9² + 5⁷ + 2¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 729352.

It is not an unprimeable number, because it can be changed into a prime (729359) by changing a digit.

729352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3403 + ... + 3610.

2⁷²⁹³⁵² is an apocalyptic number.

It is an amenable number.

729352 is an abundant number, since it is smaller than the sum of its proper divisors (743588).

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

729352 is a wasteful number, since it uses less digits than its factorization.

729352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7028 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 729352 is about 854.0210770233. The cubic root of 729352 is about 90.0144832659.

It can be divided in two parts, 729 and 352, that added together give a triangular number (1081 = T₄₆).

The spelling of 729352 in words is "seven hundred twenty-nine thousand, three hundred fifty-two".