71793441720 has 1536 divisors, whose sum is σ = 335083392000. Its totient is φ = 13435269120.

The previous prime is 71793441611. The next prime is 71793441721. The reversal of 71793441720 is 2714439717.

71793441720 is a `hidden beast` number, since 71 + 79 + 3 + 441 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71793441721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 401080591 + ... + 401080769.

It is an arithmetic number, because the mean of its divisors is an integer number (218153250).

Almost surely, 2^71793441720 is an apocalyptic number.

71793441720 is a gapful number since it is divisible by the number (70) 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 71793441720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167541696000).

71793441720 is an abundant number, since it is smaller than the sum of its proper divisors (263289950280).

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

71793441720 is a wasteful number, since it uses less digits than its factorization.

71793441720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 71793441720 in words is "seventy-one billion, seven hundred ninety-three million, four hundred forty-one thousand, seven hundred twenty".