71881920 has 168 divisors, whose sum is σ = 269839440. Its totient is φ = 17418240.

The previous prime is 71881919. The next prime is 71881991. The reversal of 71881920 is 2918817.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30546 + ... + 32814.

Almost surely, 2^71881920 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 71881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134919720).

71881920 is an abundant number, since it is smaller than the sum of its proper divisors (197957520).

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

71881920 is a wasteful number, since it uses less digits than its factorization.

71881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71881920 is about 8478.3205884184. The cubic root of 71881920 is about 415.7892176747.

The spelling of 71881920 in words is "seventy-one million, eight hundred eighty-one thousand, nine hundred twenty".