180729 has 12 divisors (see below), whose sum is σ = 267696. Its totient is φ = 117432.

The previous prime is 180701. The next prime is 180731. The reversal of 180729 is 927081.

It is not a de Polignac number, because 180729 - 2⁸ = 180473 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 1 + 8⁵ + 7⁵ + 0 + 2¹⁷ + 9² .

It is not an unprimeable number, because it can be changed into a prime (180749) 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, 154 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (22308).

2¹⁸⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

180729 is a deficient number, since it is larger than the sum of its proper divisors (86967).

180729 is a wasteful number, since it uses less digits than its factorization.

180729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 180729 is about 425.1223353342. The cubic root of 180729 is about 56.5382829798.

It can be divided in two parts, 18072 and 9, that added together give a palindrome (18081).

The spelling of 180729 in words is "one hundred eighty thousand, seven hundred twenty-nine".