71564224 has 56 divisors (see below), whose sum is σ = 150802848. Its totient is φ = 33623040.

The previous prime is 71564219. The next prime is 71564243. The reversal of 71564224 is 42246517.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89394 + ... + 90190.

It is an arithmetic number, because the mean of its divisors is an integer number (2692908).

Almost surely, 2^71564224 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 71564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401424).

71564224 is an abundant number, since it is smaller than the sum of its proper divisors (79238624).

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

71564224 is a wasteful number, since it uses less digits than its factorization.

71564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 71564224 is about 8459.5640549617. The cubic root of 71564224 is about 415.1757594905.

The spelling of 71564224 in words is "seventy-one million, five hundred sixty-four thousand, two hundred twenty-four".