76212 has 36 divisors (see below), whose sum is σ = 202020. Its totient is φ = 24192.

The previous prime is 76207. The next prime is 76213. The reversal of 76212 is 21267.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 34596 = 204^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76213) by changing a digit.

76212 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 11 ways as a sum of consecutive naturals, for example, 1008 + ... + 1080.

2⁷⁶²¹² 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 76212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101010).

76212 is an abundant number, since it is smaller than the sum of its proper divisors (125808).

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

76212 is a wasteful number, since it uses less digits than its factorization.

76212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 76212 is about 276.0652096879. The cubic root of 76212 is about 42.3975850054.

Adding to 76212 its reverse (21267), we get a palindrome (97479).

Subtracting from 76212 its reverse (21267), we obtain a palindrome (54945).

The spelling of 76212 in words is "seventy-six thousand, two hundred twelve".