71786960 has 60 divisors (see below), whose sum is σ = 194165028. Its totient is φ = 24611328.

The previous prime is 71786947. The next prime is 71786969. The reversal of 71786960 is 6968717.

It can be written as a sum of positive squares in 2 ways, for example, as 21603904 + 50183056 = 4648^2 + 7084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71786969) 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 11 ways as a sum of consecutive naturals, for example, 5237 + ... + 13076.

Almost surely, 2^71786960 is an apocalyptic number.

71786960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71786960 is an abundant number, since it is smaller than the sum of its proper divisors (122378068).

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

71786960 is a wasteful number, since it uses less digits than its factorization.

71786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18327 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 71786960 is about 8472.7185719815. The cubic root of 71786960 is about 415.6060434567.

The spelling of 71786960 in words is "seventy-one million, seven hundred eighty-six thousand, nine hundred sixty".