163072 has 54 divisors (see below), whose sum is σ = 407778. Its totient is φ = 64512.

The previous prime is 163063. The next prime is 163109. The reversal of 163072 is 270361.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 50176 = 336^2 + 224^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

163072 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 12538 + ... + 12550.

2¹⁶³⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203889).

163072 is an abundant number, since it is smaller than the sum of its proper divisors (244706).

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

163072 is an equidigital number, since it uses as much as digits as its factorization.

163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 163072 is about 403.8217428520. The cubic root of 163072 is about 54.6335975555.

The spelling of 163072 in words is "one hundred sixty-three thousand, seventy-two".