71745246720 has 640 divisors, whose sum is σ = 295095398400. Its totient is φ = 16182706176.

The previous prime is 71745246689. The next prime is 71745246817. The reversal of 71745246720 is 2764254717.

71745246720 is a `hidden beast` number, since 71 + 74 + 52 + 467 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 38222422 + ... + 38224298.

It is an arithmetic number, because the mean of its divisors is an integer number (461086560).

Almost surely, 2^71745246720 is an apocalyptic number.

71745246720 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 71745246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147547699200).

71745246720 is an abundant number, since it is smaller than the sum of its proper divisors (223350151680).

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

71745246720 is a wasteful number, since it uses less digits than its factorization.

71745246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 71745246720 in words is "seventy-one billion, seven hundred forty-five million, two hundred forty-six thousand, seven hundred twenty".