212156672 has 108 divisors (see below), whose sum is σ = 530926956. Its totient is φ = 83865600.

The previous prime is 212156657. The next prime is 212156677. The reversal of 212156672 is 276651212.

212156672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 202322176 = 3136^2 + 14224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212156677) 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, 162422 + ... + 163722.

Almost surely, 2^212156672 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 212156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265463478).

212156672 is an abundant number, since it is smaller than the sum of its proper divisors (318770284).

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

212156672 is a wasteful number, since it uses less digits than its factorization.

212156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1323 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 212156672 is about 14565.5989234909. The cubic root of 212156672 is about 596.4200453195.

The spelling of 212156672 in words is "two hundred twelve million, one hundred fifty-six thousand, six hundred seventy-two".