71848062720 has 432 divisors, whose sum is σ = 294630336000. Its totient is φ = 16421916672.

The previous prime is 71848062709. The next prime is 71848062731. The reversal of 71848062720 is 2726084817.

71848062720 is a `hidden beast` number, since 7 + 18 + 4 + 8 + 0 + 627 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71848062709) and next prime (71848062731).

It is a tau number, because it is divible by the number of its divisors (432).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2160781 + ... + 2193779.

Almost surely, 2^71848062720 is an apocalyptic number.

71848062720 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 71848062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168000).

71848062720 is an abundant number, since it is smaller than the sum of its proper divisors (222782273280).

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

71848062720 is an equidigital number, since it uses as much as digits as its factorization.

71848062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33042 (or 33016 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 71848062720 in words is "seventy-one billion, eight hundred forty-eight million, sixty-two thousand, seven hundred twenty".