729396 has 18 divisors (see below), whose sum is σ = 1843842. Its totient is φ = 243120.

The previous prime is 729389. The next prime is 729403. The reversal of 729396 is 693927.

It is an interprime number because it is at equal distance from previous prime (729389) and next prime (729403).

It can be written as a sum of positive squares in only one way, i.e., 404496 + 324900 = 636^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20261 = 729396 / (7 + 2 + 9 + 3 + 9 + 6).

It is a d-powerful number, because it can be written as 7² + 2¹⁷ + 3¹² + 9 + 9⁵ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 729396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10095 + ... + 10166.

2⁷²⁹³⁹⁶ is an apocalyptic number.

It is an amenable number.

729396 is an abundant number, since it is smaller than the sum of its proper divisors (1114446).

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

729396 is a wasteful number, since it uses less digits than its factorization.

729396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20271 (or 20266 counting only the distinct ones).

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

The square root of 729396 is about 854.0468371231. The cubic root of 729396 is about 90.0162933464.

It can be divided in two parts, 7 and 29396, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 729396 in words is "seven hundred twenty-nine thousand, three hundred ninety-six".