71759383040 has 160 divisors (see below), whose sum is σ = 174744440640. Its totient is φ = 28257583104.

The previous prime is 71759383021. The next prime is 71759383057. The reversal of 71759383040 is 4038395717.

It is a tau number, because it is divible by the number of its divisors (160).

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, 97102991 + ... + 97103729.

It is an arithmetic number, because the mean of its divisors is an integer number (1092152754).

Almost surely, 2^71759383040 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 71759383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87372220320).

71759383040 is an abundant number, since it is smaller than the sum of its proper divisors (102985057600).

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

71759383040 is an equidigital number, since it uses as much as digits as its factorization.

71759383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 71759383040 in words is "seventy-one billion, seven hundred fifty-nine million, three hundred eighty-three thousand, forty".