71187760 has 80 divisors (see below), whose sum is σ = 197415936. Its totient is φ = 23341824.

The previous prime is 71187757. The next prime is 71187773. The reversal of 71187760 is 6778117.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10117 + ... + 15643.

Almost surely, 2^71187760 is an apocalyptic number.

71187760 is a gapful number since it is divisible by the number (70) 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 71187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98707968).

71187760 is an abundant number, since it is smaller than the sum of its proper divisors (126228176).

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

71187760 is a wasteful number, since it uses less digits than its factorization.

71187760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 37.

The square root of 71187760 is about 8437.2839231592. The cubic root of 71187760 is about 414.4464677101.

It can be divided in two parts, 7118 and 7760, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 71187760 in words is "seventy-one million, one hundred eighty-seven thousand, seven hundred sixty".