71758062240 has 192 divisors, whose sum is σ = 231883585920. Its totient is φ = 18641960960.

The previous prime is 71758062221. The next prime is 71758062253. The reversal of 71758062240 is 4226085717.

It is a junction number, because it is equal to n+sod(n) for n = 71758062192 and 71758062201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16273156 + ... + 16277564.

It is an arithmetic number, because the mean of its divisors is an integer number (1207727010).

Almost surely, 2^71758062240 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 71758062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115941792960).

71758062240 is an abundant number, since it is smaller than the sum of its proper divisors (160125523680).

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

71758062240 is a wasteful number, since it uses less digits than its factorization.

71758062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 71758062240 in words is "seventy-one billion, seven hundred fifty-eight million, sixty-two thousand, two hundred forty".