212572 has 12 divisors (see below), whose sum is σ = 391720. Its totient is φ = 100656.

The previous prime is 212561. The next prime is 212573. The reversal of 212572 is 275212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1323 + ... + 1474.

2²¹²⁵⁷² is an apocalyptic number.

It is an amenable number.

212572 is a deficient number, since it is larger than the sum of its proper divisors (179148).

212572 is a wasteful number, since it uses less digits than its factorization.

212572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The square root of 212572 is about 461.0553112155. The cubic root of 212572 is about 59.6808985051.

Adding to 212572 its reverse (275212), we get a palindrome (487784).

It can be divided in two parts, 2125 and 72, that added together give a cube (2197 = 13³).

The spelling of 212572 in words is "two hundred twelve thousand, five hundred seventy-two".