71557648 has 40 divisors (see below), whose sum is σ = 146553120. Its totient is φ = 33753600.

The previous prime is 71557643. The next prime is 71557657. The reversal of 71557648 is 84675517.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (71557643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121611 + ... + 122197.

It is an arithmetic number, because the mean of its divisors is an integer number (3663828).

Almost surely, 2^71557648 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 71557648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73276560).

71557648 is an abundant number, since it is smaller than the sum of its proper divisors (74995472).

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

71557648 is a wasteful number, since it uses less digits than its factorization.

71557648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its digits is 235200, while the sum is 43.

The square root of 71557648 is about 8459.1753735219. The cubic root of 71557648 is about 415.1630423382.

The spelling of 71557648 in words is "seventy-one million, five hundred fifty-seven thousand, six hundred forty-eight".