71496640720 has 40 divisors (see below), whose sum is σ = 166599995400. Its totient is φ = 28534947840.

The previous prime is 71496640703. The next prime is 71496640753. The reversal of 71496640720 is 2704669417.

It can be written as a sum of positive squares in 4 ways, for example, as 7422856336 + 64073784384 = 86156^2 + 253128^2 .

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

It is a super-3 number, since 3×71496640720³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959301 + ... + 1031140.

It is an arithmetic number, because the mean of its divisors is an integer number (4164999885).

Almost surely, 2^71496640720 is an apocalyptic number.

It is an amenable number.

71496640720 is an abundant number, since it is smaller than the sum of its proper divisors (95103354680).

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

71496640720 is a wasteful number, since it uses less digits than its factorization.

71496640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990903 (or 1990897 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 71496640720 in words is "seventy-one billion, four hundred ninety-six million, six hundred forty thousand, seven hundred twenty".