71521968 has 120 divisors (see below), whose sum is σ = 219843072. Its totient is φ = 19969152.

The previous prime is 71521949. The next prime is 71521979. The reversal of 71521968 is 86912517.

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 23 ways as a sum of consecutive naturals, for example, 110221 + ... + 110867.

Almost surely, 2^71521968 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 71521968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109921536).

71521968 is an abundant number, since it is smaller than the sum of its proper divisors (148321104).

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

71521968 is a wasteful number, since it uses less digits than its factorization.

71521968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 71521968 is about 8457.0661579534. The cubic root of 71521968 is about 415.0940281449.

The spelling of 71521968 in words is "seventy-one million, five hundred twenty-one thousand, nine hundred sixty-eight".