273120 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 72704.

The previous prime is 273113. The next prime is 273127. The reversal of 273120 is 21372.

It is an interprime number because it is at equal distance from previous prime (273113) and next prime (273127).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 273120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273127) by changing a digit.

273120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 196 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2²⁷³¹²⁰ is an apocalyptic number.

273120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

273120 is an abundant number, since it is smaller than the sum of its proper divisors (588720).

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

273120 is a wasteful number, since it uses less digits than its factorization.

273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

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

The square root of 273120 is about 522.6088403385. The cubic root of 273120 is about 64.8810447625.

Adding to 273120 its reverse (21372), we get a palindrome (294492).

It can be divided in two parts, 273 and 120, that added together give a palindrome (393).

The spelling of 273120 in words is "two hundred seventy-three thousand, one hundred twenty", and thus it is an iban number.