71946648 has 96 divisors (see below), whose sum is σ = 202737600. Its totient is φ = 23030784.

The previous prime is 71946647. The next prime is 71946653. The reversal of 71946648 is 84664917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71946647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300913 + ... + 301151.

It is an arithmetic number, because the mean of its divisors is an integer number (2111850).

Almost surely, 2^71946648 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 71946648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101368800).

71946648 is an abundant number, since it is smaller than the sum of its proper divisors (130790952).

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

71946648 is a wasteful number, since it uses less digits than its factorization.

71946648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 71946648 is about 8482.1369948852. The cubic root of 71946648 is about 415.9139830783.

The spelling of 71946648 in words is "seventy-one million, nine hundred forty-six thousand, six hundred forty-eight".