212923872 has 144 divisors (see below), whose sum is σ = 714534912. Its totient is φ = 58855680.

The previous prime is 212923859. The next prime is 212923873. The reversal of 212923872 is 278329212.

212923872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212923873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60793 + ... + 64199.

It is an arithmetic number, because the mean of its divisors is an integer number (4962048).

Almost surely, 2^212923872 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 212923872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357267456).

212923872 is an abundant number, since it is smaller than the sum of its proper divisors (501611040).

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

212923872 is a wasteful number, since it uses less digits than its factorization.

212923872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3450 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 212923872 is about 14591.9111839402. The cubic root of 212923872 is about 597.1381042922.

The spelling of 212923872 in words is "two hundred twelve million, nine hundred twenty-three thousand, eight hundred seventy-two".