71676384 has 96 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 21745152.

The previous prime is 71676383. The next prime is 71676421. The reversal of 71676384 is 48367617.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71676383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98229 + ... + 98955.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^71676384 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 71676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

71676384 is an abundant number, since it is smaller than the sum of its proper divisors (133794336).

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

71676384 is a wasteful number, since it uses less digits than its factorization.

71676384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 71676384 is about 8466.1906427862. The cubic root of 71676384 is about 415.3925428898.

The spelling of 71676384 in words is "seventy-one million, six hundred seventy-six thousand, three hundred eighty-four".