73140 has 48 divisors (see below), whose sum is σ = 217728. Its totient is φ = 18304.

The previous prime is 73133. The next prime is 73141. The reversal of 73140 is 4137.

73140 = T₄ + T₅ + ... + T₇₅.

73140 = 45² + 46² + ... + 67².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73141) by changing a digit.

73140 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, 1354 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁷³¹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

73140 is an abundant number, since it is smaller than the sum of its proper divisors (144588).

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

73140 is a wasteful number, since it uses less digits than its factorization.

73140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

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

The square root of 73140 is about 270.4440792474. Note that the first 3 decimals coincide. The cubic root of 73140 is about 41.8200921393.

Adding to 73140 its reverse (4137), we get a palindrome (77277).

The spelling of 73140 in words is "seventy-three thousand, one hundred forty", and thus it is an iban number.