71325648 has 60 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 23220288.

The previous prime is 71325629. The next prime is 71325671. The reversal of 71325648 is 84652317.

71325648 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433 + ... + 11951.

It is an arithmetic number, because the mean of its divisors is an integer number (3404544).

Almost surely, 2^71325648 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 71325648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

71325648 is an abundant number, since it is smaller than the sum of its proper divisors (132946992).

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

71325648 is a wasteful number, since it uses less digits than its factorization.

71325648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11567 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71325648 is about 8445.4513200894. The cubic root of 71325648 is about 414.7138841726.

The spelling of 71325648 in words is "seventy-one million, three hundred twenty-five thousand, six hundred forty-eight".