212072256 has 140 divisors (see below), whose sum is σ = 685982880. Its totient is φ = 64247040.

The previous prime is 212072251. The next prime is 212072299. The reversal of 212072256 is 652270212.

212072256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212072251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55165 + ... + 58883.

Almost surely, 2^212072256 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 212072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342991440).

212072256 is an abundant number, since it is smaller than the sum of its proper divisors (473910624).

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

212072256 is a wasteful number, since it uses less digits than its factorization.

212072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 212072256 is about 14562.7008484003. The cubic root of 212072256 is about 596.3409307149.

The spelling of 212072256 in words is "two hundred twelve million, seventy-two thousand, two hundred fifty-six".