71842224 has 80 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 23232000.

The previous prime is 71842223. The next prime is 71842237. The reversal of 71842224 is 42224817.

It is a super-2 number, since 2×71842224² = 10322610298532352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71842191 and 71842200.

It is not an unprimeable number, because it can be changed into a prime (71842223) 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, 286099 + ... + 286349.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2^71842224 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 71842224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

71842224 is an abundant number, since it is smaller than the sum of its proper divisors (119395536).

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

71842224 is a wasteful number, since it uses less digits than its factorization.

71842224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 71842224 is about 8475.9792354630. The cubic root of 71842224 is about 415.7126652399.

The spelling of 71842224 in words is "seventy-one million, eight hundred forty-two thousand, two hundred twenty-four".