273372 has 48 divisors (see below), whose sum is σ = 739200. Its totient is φ = 77760.

The previous prime is 273367. The next prime is 273433.

273372 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

273372 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, 2454 + ... + 2562.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2²⁷³³⁷² is an apocalyptic number.

273372 is a gapful number since it is divisible by the number (22) 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 273372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369600).

273372 is an abundant number, since it is smaller than the sum of its proper divisors (465828).

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

273372 is a wasteful number, since it uses less digits than its factorization.

273372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 1764, while the sum is 24.

The square root of 273372 is about 522.8498828536. The cubic root of 273372 is about 64.9009932556.

The spelling of 273372 in words is "two hundred seventy-three thousand, three hundred seventy-two", and thus it is an iban number.