67212112 has 60 divisors (see below), whose sum is σ = 144717300. Its totient is φ = 30215680.

The previous prime is 67212077. The next prime is 67212113. The reversal of 67212112 is 21121276.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10601536 + 56610576 = 3256^2 + 7524^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67212113) 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, 288348 + ... + 288580.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^67212112 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 67212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72358650).

67212112 is an abundant number, since it is smaller than the sum of its proper divisors (77505188).

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

67212112 is a wasteful number, since it uses less digits than its factorization.

67212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 67212112 is about 8198.2993358379. The cubic root of 67212112 is about 406.5829670377.

Adding to 67212112 its reverse (21121276), we get a palindrome (88333388).

The spelling of 67212112 in words is "sixty-seven million, two hundred twelve thousand, one hundred twelve".