360729 has 12 divisors (see below), whose sum is σ = 526500. Its totient is φ = 237984.

The previous prime is 360653. The next prime is 360749. The reversal of 360729 is 927063.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 328329 = 180^2 + 573^2 .

It is not a de Polignac number, because 360729 - 2¹¹ = 358681 is a prime.

It is a super-2 number, since 2×360729² = 260250822882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360749) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1207 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (43875).

2³⁶⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

360729 is a deficient number, since it is larger than the sum of its proper divisors (165771).

360729 is a wasteful number, since it uses less digits than its factorization.

360729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

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

The square root of 360729 is about 600.6071927641. The cubic root of 360729 is about 71.1858517736.

It can be divided in two parts, 360 and 729, that added together give a square (1089 = 33²).

The spelling of 360729 in words is "three hundred sixty thousand, seven hundred twenty-nine".