71648064 has 168 divisors, whose sum is σ = 226332288. Its totient is φ = 22394880.

The previous prime is 71648063. The next prime is 71648089. The reversal of 71648064 is 46084617.

71648064 is a `hidden beast` number, since 7 + 1 + 648 + 0 + 6 + 4 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71648063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264249 + ... + 264519.

It is an arithmetic number, because the mean of its divisors is an integer number (1347216).

Almost surely, 2^71648064 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 71648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

71648064 is an abundant number, since it is smaller than the sum of its proper divisors (154684224).

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

71648064 is a wasteful number, since it uses less digits than its factorization.

71648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 71648064 is about 8464.5179425647. The cubic root of 71648064 is about 415.3378272087.

The spelling of 71648064 in words is "seventy-one million, six hundred forty-eight thousand, sixty-four".