72071701765308 has 720 divisors, whose sum is σ = 232208040275904. Its totient is φ = 19086350008320.

The previous prime is 72071701765267. The next prime is 72071701765309. The reversal of 72071701765308 is 80356710717027.

72071701765308 is a `hidden beast` number, since 7 + 20 + 7 + 1 + 70 + 17 + 6 + 530 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72071701765309) 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 239 ways as a sum of consecutive naturals, for example, 9639116466 + ... + 9639123942.

Almost surely, 2^{72071701765308} 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 72071701765308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116104020137952).

72071701765308 is an abundant number, since it is smaller than the sum of its proper divisors (160136338510596).

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

72071701765308 is a wasteful number, since it uses less digits than its factorization.

72071701765308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 72071701765308 in words is "seventy-two trillion, seventy-one billion, seven hundred one million, seven hundred sixty-five thousand, three hundred eight".