71301984 has 192 divisors, whose sum is σ = 221276160. Its totient is φ = 19906560.

The previous prime is 71301977. The next prime is 71302009. The reversal of 71301984 is 48910317.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735024 + ... + 735120.

It is an arithmetic number, because the mean of its divisors is an integer number (1152480).

Almost surely, 2^71301984 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 71301984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110638080).

71301984 is an abundant number, since it is smaller than the sum of its proper divisors (149974176).

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

71301984 is a wasteful number, since it uses less digits than its factorization.

71301984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 71301984 is about 8444.0502130198. The cubic root of 71301984 is about 414.6680153295.

The spelling of 71301984 in words is "seventy-one million, three hundred one thousand, nine hundred eighty-four".