71835648 has 112 divisors (see below), whose sum is σ = 199217280. Its totient is φ = 23003136.

The previous prime is 71835641. The next prime is 71835653. The reversal of 71835648 is 84653817.

It is not an unprimeable number, because it can be changed into a prime (71835641) 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, 909273 + ... + 909351.

Almost surely, 2^71835648 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 71835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99608640).

71835648 is an abundant number, since it is smaller than the sum of its proper divisors (127381632).

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

71835648 is an equidigital number, since it uses as much as digits as its factorization.

71835648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 71835648 is about 8475.5913068057. The cubic root of 71835648 is about 415.6999809170.

The spelling of 71835648 in words is "seventy-one million, eight hundred thirty-five thousand, six hundred forty-eight".