71824 has 15 divisors (see below), whose sum is σ = 141267. Its totient is φ = 35376.

The previous prime is 71821. The next prime is 71837. The reversal of 71824 is 42817.

71824 = T₂₆₇ + T₂₆₈.

The square root of 71824 is 268.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 71795 and 71804.

It is not an unprimeable number, because it can be changed into a prime (71821) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1039 + ... + 1105.

2⁷¹⁸²⁴ is an apocalyptic number.

71824 is the 268-th square number.

It is an amenable number.

71824 is a deficient number, since it is larger than the sum of its proper divisors (69443).

71824 is an equidigital number, since it uses as much as digits as its factorization.

71824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The cubic root of 71824 is about 41.5677511408.

The spelling of 71824 in words is "seventy-one thousand, eight hundred twenty-four".