212591872 has 36 divisors (see below), whose sum is σ = 428166900. Its totient is φ = 105340928.

The previous prime is 212591849. The next prime is 212591879. The reversal of 212591872 is 278195212.

It can be written as a sum of positive squares in 2 ways, for example, as 59228416 + 153363456 = 7696^2 + 12384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212591879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25254 + ... + 32602.

It is an arithmetic number, because the mean of its divisors is an integer number (11893525).

Almost surely, 2^212591872 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 212591872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214083450).

212591872 is an abundant number, since it is smaller than the sum of its proper divisors (215575028).

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

212591872 is an equidigital number, since it uses as much as digits as its factorization.

212591872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7464 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 212591872 is about 14580.5305801949. The cubic root of 212591872 is about 596.8275817597.

The spelling of 212591872 in words is "two hundred twelve million, five hundred ninety-one thousand, eight hundred seventy-two".