2072716691760 has 1920 divisors, whose sum is σ = 9139455037440. Its totient is φ = 428787302400.

The previous prime is 2072716691741. The next prime is 2072716691767. The reversal of 2072716691760 is 671966172702.

It is a super-3 number, since 3×2072716691760³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2072716691697 and 2072716691706.

It is not an unprimeable number, because it can be changed into a prime (2072716691767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2882776681 + ... + 2882777399.

It is an arithmetic number, because the mean of its divisors is an integer number (4760132832).

Almost surely, 2^{2072716691760} is an apocalyptic number.

2072716691760 is a gapful number since it is divisible by the number (20) 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 2072716691760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569727518720).

2072716691760 is an abundant number, since it is smaller than the sum of its proper divisors (7066738345680).

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

2072716691760 is a wasteful number, since it uses less digits than its factorization.

2072716691760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 2072716691760 in words is "two trillion, seventy-two billion, seven hundred sixteen million, six hundred ninety-one thousand, seven hundred sixty".