271392 has 48 divisors (see below), whose sum is σ = 780192. Its totient is φ = 81920.

The previous prime is 271367. The next prime is 271393. The reversal of 271392 is 293172.

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 (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271392.

It is not an unprimeable number, because it can be changed into a prime (271393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (16254).

2²⁷¹³⁹² is an apocalyptic number.

271392 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 271392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096).

271392 is an abundant number, since it is smaller than the sum of its proper divisors (508800).

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

271392 is a wasteful number, since it uses less digits than its factorization.

271392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 271392 is about 520.9529729256. The cubic root of 271392 is about 64.7439234420.

The spelling of 271392 in words is "two hundred seventy-one thousand, three hundred ninety-two".