202272 has 72 divisors (see below), whose sum is σ = 632016. Its totient is φ = 56448.

The previous prime is 202243. The next prime is 202277. The reversal of 202272 is 272202.

It is not an unprimeable number, because it can be changed into a prime (202277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4683 + ... + 4725.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2²⁰²²⁷² 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 202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008).

202272 is an abundant number, since it is smaller than the sum of its proper divisors (429744).

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

202272 is a wasteful number, since it uses less digits than its factorization.

202272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 202272 is about 449.7465953179. The cubic root of 202272 is about 58.7009670860.

Adding to 202272 its reverse (272202), we get a palindrome (474474).

It can be divided in two parts, 202 and 272, that added together give a palindrome (474).

The spelling of 202272 in words is "two hundred two thousand, two hundred seventy-two", and thus it is an iban number.