271572 has 48 divisors (see below), whose sum is σ = 749952. Its totient is φ = 74880.

The previous prime is 271571. The next prime is 271573. The reversal of 271572 is 275172.

It is an interprime number because it is at equal distance from previous prime (271571) and next prime (271573).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271571) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4422 + ... + 4482.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²⁷¹⁵⁷² 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 271572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

271572 is an abundant number, since it is smaller than the sum of its proper divisors (478380).

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

271572 is a wasteful number, since it uses less digits than its factorization.

271572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 271572 is about 521.1257046049. The cubic root of 271572 is about 64.7582340219.

Subtracting 271572 from its reverse (275172), we obtain a square (3600 = 60²).

The spelling of 271572 in words is "two hundred seventy-one thousand, five hundred seventy-two".