71864064 has 144 divisors (see below), whose sum is σ = 219035040. Its totient is φ = 23224320.

The previous prime is 71864057. The next prime is 71864069. The reversal of 71864064 is 46046817.

71864064 is a `hidden beast` number, since 7 + 1 + 8 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71864069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255604 + ... + 255884.

Almost surely, 2^71864064 is an apocalyptic number.

71864064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109517520).

71864064 is an abundant number, since it is smaller than the sum of its proper divisors (147170976).

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

71864064 is a wasteful number, since it uses less digits than its factorization.

71864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

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

The square root of 71864064 is about 8477.2674842782. The cubic root of 71864064 is about 415.7547864524.

The spelling of 71864064 in words is "seventy-one million, eight hundred sixty-four thousand, sixty-four".