72270 has 48 divisors (see below), whose sum is σ = 207792. Its totient is φ = 17280.

The previous prime is 72269. The next prime is 72271. The reversal of 72270 is 7227.

It is an interprime number because it is at equal distance from previous prime (72269) and next prime (72271).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72271) 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, 954 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (4329).

2⁷²²⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103896).

72270 is an abundant number, since it is smaller than the sum of its proper divisors (135522).

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

72270 is a wasteful number, since it uses less digits than its factorization.

72270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 72270 is about 268.8308018066. The cubic root of 72270 is about 41.6536136891.

Adding to 72270 its reverse (7227), we get a palindrome (79497).

The spelling of 72270 in words is "seventy-two thousand, two hundred seventy", and thus it is an iban number.