71787817248 has 96 divisors (see below), whose sum is σ = 215556485760. Its totient is φ = 20492421120.

The previous prime is 71787817237. The next prime is 71787817259. The reversal of 71787817248 is 84271878717.

It is an interprime number because it is at equal distance from previous prime (71787817237) and next prime (71787817259).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71787817191 and 71787817200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711378 + ... + 805998.

It is an arithmetic number, because the mean of its divisors is an integer number (2245380060).

Almost surely, 2^71787817248 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 71787817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107778242880).

71787817248 is an abundant number, since it is smaller than the sum of its proper divisors (143768668512).

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

71787817248 is a wasteful number, since it uses less digits than its factorization.

71787817248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95770 (or 95762 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 60.

The spelling of 71787817248 in words is "seventy-one billion, seven hundred eighty-seven million, eight hundred seventeen thousand, two hundred forty-eight".