71875760 has 40 divisors (see below), whose sum is σ = 182305296. Its totient is φ = 26136320.

The previous prime is 71875757. The next prime is 71875787. The reversal of 71875760 is 6757817.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×71875760² = 10332249751155200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39959 + ... + 41718.

Almost surely, 2^71875760 is an apocalyptic number.

It is an amenable number.

71875760 is an abundant number, since it is smaller than the sum of its proper divisors (110429536).

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

71875760 is a wasteful number, since it uses less digits than its factorization.

71875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81701 (or 81695 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The square root of 71875760 is about 8477.9573011428. The cubic root of 71875760 is about 415.7773401643. Note that the first 3 decimals are identical.

It can be divided in two parts, 718757 and 60, that added together give a palindrome (718817).

The spelling of 71875760 in words is "seventy-one million, eight hundred seventy-five thousand, seven hundred sixty".