71125572240 has 60 divisors (see below), whose sum is σ = 238863382524. Its totient is φ = 18966819072.

The previous prime is 71125572239. The next prime is 71125572251. The reversal of 71125572240 is 4227552117.

71125572240 is a `hidden beast` number, since 71 + 12 + 5 + 572 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37080894096 + 34044678144 = 192564^2 + 184512^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71125572195 and 71125572204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49392039 + ... + 49393478.

Almost surely, 2^71125572240 is an apocalyptic number.

It is an amenable number.

71125572240 is an abundant number, since it is smaller than the sum of its proper divisors (167737810284).

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

71125572240 is a wasteful number, since it uses less digits than its factorization.

71125572240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98785536 (or 98785527 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 71125572240 in words is "seventy-one billion, one hundred twenty-five million, five hundred seventy-two thousand, two hundred forty".