202072 has 32 divisors (see below), whose sum is σ = 428400. Its totient is φ = 88704.

The previous prime is 202067. The next prime is 202087. The reversal of 202072 is 270202.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

202072 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 7 ways as a sum of consecutive naturals, for example, 2983 + ... + 3049.

2²⁰²⁰⁷² 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 202072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214200).

202072 is an abundant number, since it is smaller than the sum of its proper divisors (226328).

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

202072 is a wasteful number, since it uses less digits than its factorization.

202072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 202072 is about 449.5241928973. The cubic root of 202072 is about 58.6816135010.

Adding to 202072 its reverse (270202), we get a palindrome (472274).

The spelling of 202072 in words is "two hundred two thousand, seventy-two", and thus it is an iban number.