72210 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 18368.

The previous prime is 72173. The next prime is 72211. The reversal of 72210 is 1227.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (72211) by changing a digit.

72210 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁷²²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

72210 is an abundant number, since it is smaller than the sum of its proper divisors (109230).

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

72210 is a wasteful number, since it uses less digits than its factorization.

72210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 72210 is about 268.7191842798. The cubic root of 72210 is about 41.6420832764.

Adding to 72210 its reverse (1227), we get a palindrome (73437).

It can be divided in two parts, 72 and 210, that added together give a palindrome (282).

The spelling of 72210 in words is "seventy-two thousand, two hundred ten", and thus it is an iban number.