71484 has 48 divisors (see below), whose sum is σ = 204288. Its totient is φ = 19008.

The previous prime is 71483. The next prime is 71503. The reversal of 71484 is 48417.

71484 = T₅₇ + T₅₈ + ... + T₈₄.

71484 = 91² + 92² + ... + 98².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914 + ... + 1950.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

2⁷¹⁴⁸⁴ is an apocalyptic number.

71484 is a gapful number since it is divisible by the number (74) 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 71484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

71484 is an abundant number, since it is smaller than the sum of its proper divisors (132804).

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

71484 is a wasteful number, since it uses less digits than its factorization.

71484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 71484 is about 267.3649191648. The cubic root of 71484 is about 41.5020563166.

It can be divided in two parts, 71 and 484, that added together give a palindrome (555).

The spelling of 71484 in words is "seventy-one thousand, four hundred eighty-four".