71124648 has 128 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 19109376.

The previous prime is 71124637. The next prime is 71124649. The reversal of 71124648 is 84642117.

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 (71124649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305140 + ... + 305372.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^71124648 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 71124648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

71124648 is an abundant number, since it is smaller than the sum of its proper divisors (144529752).

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

71124648 is a wasteful number, since it uses less digits than its factorization.

71124648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 71124648 is about 8433.5430276960. The cubic root of 71124648 is about 414.3239547058.

The spelling of 71124648 in words is "seventy-one million, one hundred twenty-four thousand, six hundred forty-eight".