71424 has 54 divisors (see below), whose sum is σ = 212576. Its totient is φ = 23040.

The previous prime is 71419. The next prime is 71429. The reversal of 71424 is 42417.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71419) and next prime (71429).

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

It is a junction number, because it is equal to n+sod(n) for n = 71397 and 71406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71424.

It is not an unprimeable number, because it can be changed into a prime (71429) by changing a digit.

71424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2289 + ... + 2319.

2⁷¹⁴²⁴ 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 71424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106288).

71424 is an abundant number, since it is smaller than the sum of its proper divisors (141152).

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

71424 is a wasteful number, since it uses less digits than its factorization.

71424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 71424 is about 267.2526894158. The cubic root of 71424 is about 41.4904415011.

It can be divided in two parts, 7 and 1424, that added together give a triangular number (1431 = T₅₃).

The spelling of 71424 in words is "seventy-one thousand, four hundred twenty-four", and thus it is an iban number.