212526720 has 384 divisors, whose sum is σ = 879076800. Its totient is φ = 48384000.

The previous prime is 212526719. The next prime is 212526733. The reversal of 212526720 is 27625212.

212526720 is digitally balanced in base 3, 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 (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846595 + ... + 846845.

Almost surely, 2^212526720 is an apocalyptic number.

212526720 is a gapful number since it is divisible by the number (20) 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 212526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

212526720 is an abundant number, since it is smaller than the sum of its proper divisors (666550080).

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

212526720 is a wasteful number, since it uses less digits than its factorization.

212526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

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

The square root of 212526720 is about 14578.2961967440. The cubic root of 212526720 is about 596.7666065789.

It can be divided in two parts, 21252 and 6720, that added together give a palindrome (27972).

The spelling of 212526720 in words is "two hundred twelve million, five hundred twenty-six thousand, seven hundred twenty".