71307648 has 128 divisors (see below), whose sum is σ = 215424000. Its totient is φ = 23210496.

The previous prime is 71307637. The next prime is 71307653. The reversal of 71307648 is 84670317.

71307648 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162213 + ... + 162651.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000).

Almost surely, 2^71307648 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 71307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000).

71307648 is an abundant number, since it is smaller than the sum of its proper divisors (144116352).

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

71307648 is a wasteful number, since it uses less digits than its factorization.

71307648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71307648 is about 8444.3855904382. The cubic root of 71307648 is about 414.6789950027.

The spelling of 71307648 in words is "seventy-one million, three hundred seven thousand, six hundred forty-eight".