210672 has 120 divisors (see below), whose sum is σ = 773760. Its totient is φ = 51840.

The previous prime is 210671. The next prime is 210709. The reversal of 210672 is 276012.

It is a happy number.

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 (210671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11079 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2²¹⁰⁶⁷² is an apocalyptic number.

210672 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 210672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386880).

210672 is an abundant number, since it is smaller than the sum of its proper divisors (563088).

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

210672 is a wasteful number, since it uses less digits than its factorization.

210672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 42 counting only the distinct ones).

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

The square root of 210672 is about 458.9901959737. The cubic root of 210672 is about 59.5025538531.

Adding to 210672 its reverse (276012), we get a palindrome (486684).

The spelling of 210672 in words is "two hundred ten thousand, six hundred seventy-two".