201572 has 24 divisors (see below), whose sum is σ = 422016. Its totient is φ = 82368.

The previous prime is 201557. The next prime is 201577. The reversal of 201572 is 275102.

It is a self number, because there is not a number n which added to its sum of digits gives 201572.

It is not an unprimeable number, because it can be changed into a prime (201577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (17584).

2²⁰¹⁵⁷² 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 201572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211008).

201572 is an abundant number, since it is smaller than the sum of its proper divisors (220444).

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

201572 is a wasteful number, since it uses less digits than its factorization.

201572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 201572 is about 448.9677048519. The cubic root of 201572 is about 58.6331736050.

Adding to 201572 its reverse (275102), we get a palindrome (476674).

The spelling of 201572 in words is "two hundred one thousand, five hundred seventy-two".