212972032 has 120 divisors (see below), whose sum is σ = 533895516. Its totient is φ = 84123648.

The previous prime is 212972017. The next prime is 212972041. The reversal of 212972032 is 230279212.

212972032 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 189778176 + 23193856 = 13776^2 + 4816^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325818 + ... + 326470.

Almost surely, 2^212972032 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 212972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266947758).

212972032 is an abundant number, since it is smaller than the sum of its proper divisors (320923484).

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

212972032 is an equidigital number, since it uses as much as digits as its factorization.

212972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 212972032 is about 14593.5613199794. The cubic root of 212972032 is about 597.1831219517.

The spelling of 212972032 in words is "two hundred twelve million, nine hundred seventy-two thousand, thirty-two".