202712 has 8 divisors (see below), whose sum is σ = 380100. Its totient is φ = 101352.

The previous prime is 202693. The next prime is 202717. The reversal of 202712 is 217202.

202712 is digitally balanced in base 3, 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 (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202717) by changing a digit.

202712 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 as a sum of consecutive naturals, namely, 12662 + ... + 12677.

2²⁰²⁷¹² is an apocalyptic number.

It is an amenable number.

202712 is a deficient number, since it is larger than the sum of its proper divisors (177388).

202712 is a wasteful number, since it uses less digits than its factorization.

202712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25345 (or 25341 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 202712 is about 450.2354939362. The cubic root of 202712 is about 58.7435001108.

Adding to 202712 its reverse (217202), we get a palindrome (419914).

The spelling of 202712 in words is "two hundred two thousand, seven hundred twelve", and thus it is an iban number.