212752320 has 112 divisors (see below), whose sum is σ = 736933248. Its totient is φ = 51573760.

The previous prime is 212752313. The next prime is 212752333. The reversal of 212752320 is 23257212.

It is a happy number.

212752320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487 + ... + 20633.

Almost surely, 2^212752320 is an apocalyptic number.

212752320 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 212752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368466624).

212752320 is an abundant number, since it is smaller than the sum of its proper divisors (524180928).

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

212752320 is a wasteful number, since it uses less digits than its factorization.

212752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20178 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 212752320 is about 14586.0316741738. The cubic root of 212752320 is about 596.9776905265.

The spelling of 212752320 in words is "two hundred twelve million, seven hundred fifty-two thousand, three hundred twenty".