71148224 has 112 divisors (see below), whose sum is σ = 171663360. Its totient is φ = 28615680.

The previous prime is 71148221. The next prime is 71148241. The reversal of 71148224 is 42284117.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71148221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652682 + ... + 652790.

Almost surely, 2^71148224 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 71148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85831680).

71148224 is an abundant number, since it is smaller than the sum of its proper divisors (100515136).

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

71148224 is a wasteful number, since it uses less digits than its factorization.

71148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 71148224 is about 8434.9406636917. The cubic root of 71148224 is about 414.3697289099.

The spelling of 71148224 in words is "seventy-one million, one hundred forty-eight thousand, two hundred twenty-four".