71532 has 18 divisors (see below), whose sum is σ = 180908. Its totient is φ = 23832.

The previous prime is 71527. The next prime is 71537. The reversal of 71532 is 23517.

It is an interprime number because it is at equal distance from previous prime (71527) and next prime (71537).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (71537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 958 + ... + 1029.

2⁷¹⁵³² is an apocalyptic number.

It is an amenable number.

71532 is an abundant number, since it is smaller than the sum of its proper divisors (109376).

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

71532 is a wasteful number, since it uses less digits than its factorization.

71532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1992 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 71532 is about 267.4546690563. The cubic root of 71532 is about 41.5113434903.

It can be divided in two parts, 715 and 32, that added together give a palindrome (747).

The spelling of 71532 in words is "seventy-one thousand, five hundred thirty-two".