73122 has 16 divisors (see below), whose sum is σ = 167232. Its totient is φ = 20880.

The previous prime is 73121. The next prime is 73127. The reversal of 73122 is 22137.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73122.

It is not an unprimeable number, because it can be changed into a prime (73121) 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, 829 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (10452).

2⁷³¹²² is an apocalyptic number.

73122 is an abundant number, since it is smaller than the sum of its proper divisors (94110).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83616).

73122 is a wasteful number, since it uses less digits than its factorization.

73122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753.

The product of its digits is 84, while the sum is 15.

The square root of 73122 is about 270.4107986009. The cubic root of 73122 is about 41.8166611694.

Adding to 73122 its sum of digits (15), we get a palindrome (73137).

Adding to 73122 its reverse (22137), we get a palindrome (95259).

The spelling of 73122 in words is "seventy-three thousand, one hundred twenty-two", and thus it is an iban number.