71890830720 has 224 divisors, whose sum is σ = 257679821520. Its totient is φ = 19170763776.

The previous prime is 71890830707. The next prime is 71890830797. The reversal of 71890830720 is 2703809817.

It is a super-2 number, since 2×71890830720² (a number of 23 digits) contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 389517 + ... + 543603.

Almost surely, 2^71890830720 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 71890830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128839910760).

71890830720 is an abundant number, since it is smaller than the sum of its proper divisors (185788990800).

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

71890830720 is an equidigital number, since it uses as much as digits as its factorization.

71890830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154124 (or 154097 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 71890830720 in words is "seventy-one billion, eight hundred ninety million, eight hundred thirty thousand, seven hundred twenty".