71756880 has 160 divisors (see below), whose sum is σ = 242901120. Its totient is φ = 17418240.

The previous prime is 71756879. The next prime is 71756887. The reversal of 71756880 is 8865717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71756887) 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 31 ways as a sum of consecutive naturals, for example, 339975 + ... + 340185.

It is an arithmetic number, because the mean of its divisors is an integer number (1518132).

Almost surely, 2^71756880 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 71756880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450560).

71756880 is an abundant number, since it is smaller than the sum of its proper divisors (171144240).

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

71756880 is a wasteful number, since it uses less digits than its factorization.

71756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 71756880 is about 8470.9432768730. The cubic root of 71756880 is about 415.5479865975.

The spelling of 71756880 in words is "seventy-one million, seven hundred fifty-six thousand, eight hundred eighty".