71384976 has 200 divisors, whose sum is σ = 235262720. Its totient is φ = 20715264.

The previous prime is 71384969. The next prime is 71384981. The reversal of 71384976 is 67948317.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 320001 + ... + 320223.

Almost surely, 2^71384976 is an apocalyptic number.

71384976 is a gapful number since it is divisible by the number (76) 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 71384976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117631360).

71384976 is an abundant number, since it is smaller than the sum of its proper divisors (163877744).

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

71384976 is a wasteful number, since it uses less digits than its factorization.

71384976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 71384976 is about 8448.9630132934. The cubic root of 71384976 is about 414.8288373362.

The spelling of 71384976 in words is "seventy-one million, three hundred eighty-four thousand, nine hundred seventy-six".