72170 has 16 divisors (see below), whose sum is σ = 148608. Its totient is φ = 24720.

The previous prime is 72169. The next prime is 72173. The reversal of 72170 is 7127.

It is a happy number.

It is a Curzon number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72170.

It is not an unprimeable number, because it can be changed into a prime (72173) 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, 446 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (9288).

2⁷²¹⁷⁰ is an apocalyptic number.

72170 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72170 is an abundant number, since it is smaller than the sum of its proper divisors (76438).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74304).

72170 is a wasteful number, since it uses less digits than its factorization.

72170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 72170 is about 268.6447468312. The cubic root of 72170 is about 41.6343927858.

Adding to 72170 its reverse (7127), we get a palindrome (79297).

It can be divided in two parts, 72 and 170, that added together give a palindrome (242).

The spelling of 72170 in words is "seventy-two thousand, one hundred seventy", and thus it is an iban number.