212375772 has 72 divisors (see below), whose sum is σ = 616333536. Its totient is φ = 60401664.

The previous prime is 212375771. The next prime is 212375773. The reversal of 212375772 is 277573212.

212375772 is a `hidden beast` number, since 212 + 375 + 7 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (212375771) and next prime (212375773).

It is a super-3 number, since 3×212375772³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212375771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56908 + ... + 60524.

It is an arithmetic number, because the mean of its divisors is an integer number (8560188).

Almost surely, 2^212375772 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 212375772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308166768).

212375772 is an abundant number, since it is smaller than the sum of its proper divisors (403957764).

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

212375772 is a wasteful number, since it uses less digits than its factorization.

212375772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3862 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 212375772 is about 14573.1181289386. The cubic root of 212375772 is about 596.6252877823.

The spelling of 212375772 in words is "two hundred twelve million, three hundred seventy-five thousand, seven hundred seventy-two".