212872 has 32 divisors (see below), whose sum is σ = 453600. Its totient is φ = 92800.

The previous prime is 212869. The next prime is 212873. The reversal of 212872 is 278212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (212873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3579 + ... + 3637.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2²¹²⁸⁷² is an apocalyptic number.

212872 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 212872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

212872 is an abundant number, since it is smaller than the sum of its proper divisors (240728).

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

212872 is a wasteful number, since it uses less digits than its factorization.

212872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 212872 is about 461.3805370841. The cubic root of 212872 is about 59.7089609239.

The spelling of 212872 in words is "two hundred twelve thousand, eight hundred seventy-two".