71985106944 has 312 divisors, whose sum is σ = 222684064512. Its totient is φ = 23211048960.

The previous prime is 71985106939. The next prime is 71985107011. The reversal of 71985106944 is 44960158917.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30854002 + ... + 30856334.

It is an arithmetic number, because the mean of its divisors is an integer number (713730976).

Almost surely, 2^71985106944 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 71985106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111342032256).

71985106944 is an abundant number, since it is smaller than the sum of its proper divisors (150698957568).

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

71985106944 is an equidigital number, since it uses as much as digits as its factorization.

71985106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

It can be divided in two parts, 71985 and 106944, that added together give a square (178929 = 423²).

The spelling of 71985106944 in words is "seventy-one billion, nine hundred eighty-five million, one hundred six thousand, nine hundred forty-four".