71638848 has 84 divisors (see below), whose sum is σ = 206540100. Its totient is φ = 23740416.

The previous prime is 71638841. The next prime is 71638883. The reversal of 71638848 is 84883617.

71638848 is a `hidden beast` number, since 7 + 1 + 638 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 44515584 = 5208^2 + 6672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71638841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159328 + ... + 159776.

Almost surely, 2^71638848 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 71638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103270050).

71638848 is an abundant number, since it is smaller than the sum of its proper divisors (134901252).

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

71638848 is a wasteful number, since it uses less digits than its factorization.

71638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 71638848 is about 8463.9735349303. The cubic root of 71638848 is about 415.3200183183.

The spelling of 71638848 in words is "seventy-one million, six hundred thirty-eight thousand, eight hundred forty-eight".