71982939244176 has 135 divisors (see below), whose sum is σ = 201950113480297. Its totient is φ = 23935160709120.

The previous prime is 71982939244171. The next prime is 71982939244187. The reversal of 71982939244176 is 67144293928917.

The square root of 71982939244176 is 8484276.

It is a perfect power (a square), and thus also a powerful number.

71982939244176 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 2 + 93 + 92 + 441 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64975271404176 + 7007667840000 = 8060724^2 + 2647200^2 .

It is a super-2 number, since 2×71982939244176² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71982939244171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65261050441 + ... + 65261051543.

Almost surely, 2^{71982939244176} is an apocalyptic number.

71982939244176 is the 8484276-th square number.

It is an amenable number.

71982939244176 is an abundant number, since it is smaller than the sum of its proper divisors (129967174236121).

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

71982939244176 is an frugal number, since it uses more digits than its factorization.

71982939244176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 1749 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 71982939244176 in words is "seventy-one trillion, nine hundred eighty-two billion, nine hundred thirty-nine million, two hundred forty-four thousand, one hundred seventy-six".