360723 has 16 divisors (see below), whose sum is σ = 556416. Its totient is φ = 205440.

The previous prime is 360653. The next prime is 360749. The reversal of 360723 is 327063.

It is not a de Polignac number, because 360723 - 2¹⁶ = 295187 is a prime.

It is a d-powerful number, because it can be written as 3⁹ + 6⁷ + 7 + 0 + 2¹¹ + 3¹⁰ .

360723 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 360723.

It is not an unprimeable number, because it can be changed into a prime (360023) 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 15 ways as a sum of consecutive naturals, for example, 240 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (34776).

2³⁶⁰⁷²³ is an apocalyptic number.

360723 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

360723 is a deficient number, since it is larger than the sum of its proper divisors (195693).

360723 is a wasteful number, since it uses less digits than its factorization.

360723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 360723 is about 600.6021977982. The cubic root of 360723 is about 71.1854570937.

Adding to 360723 its reverse (327063), we get a palindrome (687786).

It can be divided in two parts, 3 and 60723, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 360723 in words is "three hundred sixty thousand, seven hundred twenty-three".