182720 has 28 divisors (see below), whose sum is σ = 435864. Its totient is φ = 72960.

The previous prime is 182713. The next prime is 182747. The reversal of 182720 is 27281.

182720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 182692 and 182701.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 35 + ... + 605.

2¹⁸²⁷²⁰ is an apocalyptic number.

182720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217932).

182720 is an abundant number, since it is smaller than the sum of its proper divisors (253144).

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

182720 is an equidigital number, since it uses as much as digits as its factorization.

182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 182720 is about 427.4576002366. The cubic root of 182720 is about 56.7451430958.

The spelling of 182720 in words is "one hundred eighty-two thousand, seven hundred twenty".