71086752 has 144 divisors (see below), whose sum is σ = 232333920. Its totient is φ = 20390400.

The previous prime is 71086711. The next prime is 71086753. The reversal of 71086752 is 25768017.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (71086753) 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 23 ways as a sum of consecutive naturals, for example, 59602 + ... + 60782.

It is an arithmetic number, because the mean of its divisors is an integer number (1613430).

Almost surely, 2^71086752 is an apocalyptic number.

71086752 is a gapful number since it is divisible by the number (72) 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 71086752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116166960).

71086752 is an abundant number, since it is smaller than the sum of its proper divisors (161247168).

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

71086752 is a wasteful number, since it uses less digits than its factorization.

71086752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71086752 is about 8431.2959857901. The cubic root of 71086752 is about 414.2503561693.

The spelling of 71086752 in words is "seventy-one million, eighty-six thousand, seven hundred fifty-two".