212130072 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 54316800.

The previous prime is 212130053. The next prime is 212130073. The reversal of 212130072 is 270031212.

212130072 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212130073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459922 + ... + 460382.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^212130072 is an apocalyptic number.

212130072 is a gapful number since it is divisible by the number (22) 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 212130072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

212130072 is an abundant number, since it is smaller than the sum of its proper divisors (514355688).

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

212130072 is a wasteful number, since it uses less digits than its factorization.

212130072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 212130072 is about 14564.6857844582. The cubic root of 212130072 is about 596.3951180866.

Adding to 212130072 its reverse (270031212), we get a palindrome (482161284).

The spelling of 212130072 in words is "two hundred twelve million, one hundred thirty thousand, seventy-two".