729360 has 60 divisors (see below), whose sum is σ = 2451852. Its totient is φ = 194304.

The previous prime is 729359. The next prime is 729367. The reversal of 729360 is 63927.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 646416 = 288^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729367) 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, 214 + ... + 1226.

2⁷²⁹³⁶⁰ 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 729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225926).

729360 is an abundant number, since it is smaller than the sum of its proper divisors (1722492).

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

729360 is a wasteful number, since it uses less digits than its factorization.

729360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 729360 is about 854.0257607356. The cubic root of 729360 is about 90.0148123768.

It can be divided in two parts, 7293 and 60, that multiplied together give a triangular number (437580 = T₉₃₅).

The spelling of 729360 in words is "seven hundred twenty-nine thousand, three hundred sixty".