212736 has 36 divisors (see below), whose sum is σ = 568232. Its totient is φ = 70656.

The previous prime is 212701. The next prime is 212777. The reversal of 212736 is 637212.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212736.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 630 + ... + 906.

2²¹²⁷³⁶ 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 212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284116).

212736 is an abundant number, since it is smaller than the sum of its proper divisors (355496).

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

212736 is an equidigital number, since it uses as much as digits as its factorization.

212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 212736 is about 461.2331297728. The cubic root of 212736 is about 59.6962425632.

Adding to 212736 its reverse (637212), we get a palindrome (849948).

The spelling of 212736 in words is "two hundred twelve thousand, seven hundred thirty-six".