162072 has 24 divisors (see below), whose sum is σ = 439140. Its totient is φ = 54000.

The previous prime is 162059. The next prime is 162079. The reversal of 162072 is 270261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162079) by changing a digit.

162072 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 5 ways as a sum of consecutive naturals, for example, 1054 + ... + 1197.

162072 is a Friedman number, since it can be written as 27012*6, using all its digits and the basic arithmetic operations.

2¹⁶²⁰⁷² is an apocalyptic number.

162072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162072 is an abundant number, since it is smaller than the sum of its proper divisors (277068).

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

162072 is a wasteful number, since it uses less digits than its factorization.

162072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

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

The square root of 162072 is about 402.5816687332. The cubic root of 162072 is about 54.5216926803.

The spelling of 162072 in words is "one hundred sixty-two thousand, seventy-two".