73120 has 24 divisors (see below), whose sum is σ = 173124. Its totient is φ = 29184.

The previous prime is 73091. The next prime is 73121. The reversal of 73120 is 2137.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 1296 = 268^2 + 36^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73120.

It is not an unprimeable number, because it can be changed into a prime (73121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69 + ... + 388.

2⁷³¹²⁰ is an apocalyptic number.

It is an amenable number.

73120 is an abundant number, since it is smaller than the sum of its proper divisors (100004).

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 (86562).

73120 is a wasteful number, since it uses less digits than its factorization.

73120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 73120 is about 270.4071004985. The cubic root of 73120 is about 41.8162799158.

Adding to 73120 its reverse (2137), we get a palindrome (75257).

The spelling of 73120 in words is "seventy-three thousand, one hundred twenty", and thus it is an iban number.