212727736 has 48 divisors (see below), whose sum is σ = 450750960. Its totient is φ = 93899520.

The previous prime is 212727727. The next prime is 212727737. The reversal of 212727736 is 637727212.

It is a junction number, because it is equal to n+sod(n) for n = 212727695 and 212727704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212727737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27676 + ... + 34516.

It is an arithmetic number, because the mean of its divisors is an integer number (9390645).

Almost surely, 2^212727736 is an apocalyptic number.

212727736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212727736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375480).

212727736 is an abundant number, since it is smaller than the sum of its proper divisors (238023224).

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

212727736 is a wasteful number, since it uses less digits than its factorization.

212727736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 6879 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 212727736 is about 14585.1889257562. The cubic root of 212727736 is about 596.9546956110.

It can be divided in two parts, 21 and 2727736, that multiplied together give a triangular number (57282456 = T₁₀₇₀₃).

The spelling of 212727736 in words is "two hundred twelve million, seven hundred twenty-seven thousand, seven hundred thirty-six".