201672 has 24 divisors (see below), whose sum is σ = 546390. Its totient is φ = 67200.

The previous prime is 201667. The next prime is 201673. The reversal of 201672 is 276102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 30276 = 414^2 + 174^2 .

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 a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201673) by changing a digit.

201672 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, 1329 + ... + 1472.

2²⁰¹⁶⁷² is an apocalyptic number.

It is an amenable number.

201672 is an abundant number, since it is smaller than the sum of its proper divisors (344718).

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

201672 is a wasteful number, since it uses less digits than its factorization.

201672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2806 counting only the distinct ones).

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

The square root of 201672 is about 449.0790576279. The cubic root of 201672 is about 58.6428679872.

Adding to 201672 its reverse (276102), we get a palindrome (477774).

The spelling of 201672 in words is "two hundred one thousand, six hundred seventy-two".