71824064 has 56 divisors (see below), whose sum is σ = 154686000. Its totient is φ = 32891904.

The previous prime is 71824019. The next prime is 71824069. The reversal of 71824064 is 46042817.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 71824064.

It is not an unprimeable number, because it can be changed into a prime (71824069) 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, 143687 + ... + 144185.

It is an arithmetic number, because the mean of its divisors is an integer number (2762250).

Almost surely, 2^71824064 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 71824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77343000).

71824064 is an abundant number, since it is smaller than the sum of its proper divisors (82861936).

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

71824064 is a wasteful number, since it uses less digits than its factorization.

71824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 71824064 is about 8474.9079051043. The cubic root of 71824064 is about 415.6776348740.

The spelling of 71824064 in words is "seventy-one million, eight hundred twenty-four thousand, sixty-four".