273152 has 36 divisors (see below), whose sum is σ = 600936. Its totient is φ = 122880.

The previous prime is 273149. The next prime is 273157. The reversal of 273152 is 251372.

It is a super-2 number, since 2×273152² = 149224030208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (273157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2768 + ... + 2864.

2²⁷³¹⁵² is an apocalyptic number.

273152 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 273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300468).

273152 is an abundant number, since it is smaller than the sum of its proper divisors (327784).

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

273152 is an equidigital number, since it uses as much as digits as its factorization.

273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 273152 is about 522.6394550740. The cubic root of 273152 is about 64.8835785845.

The spelling of 273152 in words is "two hundred seventy-three thousand, one hundred fifty-two".