180552 has 16 divisors (see below), whose sum is σ = 451440. Its totient is φ = 60176.

The previous prime is 180547. The next prime is 180563. The reversal of 180552 is 255081.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180552.

It is an unprimeable number.

180552 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 in 3 ways as a sum of consecutive naturals, for example, 3738 + ... + 3785.

It is an arithmetic number, because the mean of its divisors is an integer number (28215).

2¹⁸⁰⁵⁵² is an apocalyptic number.

180552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180552 is an abundant number, since it is smaller than the sum of its proper divisors (270888).

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

180552 is a wasteful number, since it uses less digits than its factorization.

180552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 180552 is about 424.9141089679. The cubic root of 180552 is about 56.5198197101.

Subtracting 180552 from its reverse (255081), we obtain a square (74529 = 273²).

The spelling of 180552 in words is "one hundred eighty thousand, five hundred fifty-two".