71965018944 has 1680 divisors, whose sum is σ = 298232901120. Its totient is φ = 16930529280.

The previous prime is 71965018927. The next prime is 71965019053. The reversal of 71965018944 is 44981056917.

71965018944 is a `hidden beast` number, since 7 + 1 + 96 + 501 + 8 + 9 + 44 = 666.

It is a super-2 number, since 2×71965018944² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1945000494 + ... + 1945000530.

It is an arithmetic number, because the mean of its divisors is an integer number (177519584).

Almost surely, 2^71965018944 is an apocalyptic number.

71965018944 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71965018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149116450560).

71965018944 is an abundant number, since it is smaller than the sum of its proper divisors (226267882176).

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

71965018944 is a wasteful number, since it uses less digits than its factorization.

71965018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

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

The spelling of 71965018944 in words is "seventy-one billion, nine hundred sixty-five million, eighteen thousand, nine hundred forty-four".