162720 has 72 divisors (see below), whose sum is σ = 560196. Its totient is φ = 43008.

The previous prime is 162713. The next prime is 162727. The reversal of 162720 is 27261.

It is a happy number.

162720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162713) and next prime (162727).

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 24336 = 372^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 162693 and 162702.

It is not an unprimeable number, because it can be changed into a prime (162727) 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, 1384 + ... + 1496.

162720 is a Friedman number, since it can be written as 27120*6, using all its digits and the basic arithmetic operations.

2¹⁶²⁷²⁰ is an apocalyptic number.

162720 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 162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

162720 is an abundant number, since it is smaller than the sum of its proper divisors (397476).

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

162720 is a wasteful number, since it uses less digits than its factorization.

162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 162720 is about 403.3856715353. The cubic root of 162720 is about 54.5942593490.

Adding to 162720 its reverse (27261), we get a palindrome (189981).

The spelling of 162720 in words is "one hundred sixty-two thousand, seven hundred twenty".