71544 has 32 divisors (see below), whose sum is σ = 195840. Its totient is φ = 21600.

The previous prime is 71537. The next prime is 71549. The reversal of 71544 is 44517.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 71544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71549) 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, 129 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

2⁷¹⁵⁴⁴ 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 71544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

71544 is an abundant number, since it is smaller than the sum of its proper divisors (124296).

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

71544 is a wasteful number, since it uses less digits than its factorization.

71544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 71544 is about 267.4771018237. The cubic root of 71544 is about 41.5136646345.

It can be divided in two parts, 7 and 1544, that added together give a palindrome (1551).

The spelling of 71544 in words is "seventy-one thousand, five hundred forty-four".