201972 has 12 divisors (see below), whose sum is σ = 471296. Its totient is φ = 67320.

The previous prime is 201961. The next prime is 201973. The reversal of 201972 is 279102.

It is a happy number.

201972 is nontrivially palindromic in base 11.

201972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201973) by changing a digit.

201972 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 3 ways as a sum of consecutive naturals, for example, 8404 + ... + 8427.

2²⁰¹⁹⁷² is an apocalyptic number.

It is an amenable number.

201972 is an abundant number, since it is smaller than the sum of its proper divisors (269324).

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

201972 is a wasteful number, since it uses less digits than its factorization.

201972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16838 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 201972 is about 449.4129504142. The cubic root of 201972 is about 58.6719319195.

The spelling of 201972 in words is "two hundred one thousand, nine hundred seventy-two".