180724 has 6 divisors (see below), whose sum is σ = 316274. Its totient is φ = 90360.

The previous prime is 180701. The next prime is 180731. The reversal of 180724 is 427081.

180724 = 75² + 76² + ... + 98².

180724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 71824 = 330^2 + 268^2 .

It is a super-2 number, since 2×180724² = 65322328352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180695 and 180704.

It is a congruent number.

It is an unprimeable number.

180724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22587 + ... + 22594.

2¹⁸⁰⁷²⁴ is an apocalyptic number.

It is an amenable number.

180724 is a deficient number, since it is larger than the sum of its proper divisors (135550).

180724 is a wasteful number, since it uses less digits than its factorization.

180724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45185 (or 45183 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 180724 is about 425.1164546333. The cubic root of 180724 is about 56.5377615840.

The spelling of 180724 in words is "one hundred eighty thousand, seven hundred twenty-four".