212067072 has 216 divisors, whose sum is σ = 726159616. Its totient is φ = 60466176.

The previous prime is 212067067. The next prime is 212067073. The reversal of 212067072 is 270760212.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212067073) 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 23 ways as a sum of consecutive naturals, for example, 435213 + ... + 435699.

Almost surely, 2^212067072 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 212067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363079808).

212067072 is an abundant number, since it is smaller than the sum of its proper divisors (514092544).

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

212067072 is an frugal number, since it uses more digits than its factorization.

212067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 212067072 is about 14562.5228583512. The cubic root of 212067072 is about 596.3360715902.

The spelling of 212067072 in words is "two hundred twelve million, sixty-seven thousand, seventy-two".