71122994320 has 240 divisors, whose sum is σ = 196815528000. Its totient is φ = 23825249280.

The previous prime is 71122994297. The next prime is 71122994377. The reversal of 71122994320 is 2349922117.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 41860831 + ... + 41862529.

It is an arithmetic number, because the mean of its divisors is an integer number (820064700).

Almost surely, 2^71122994320 is an apocalyptic number.

71122994320 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 71122994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98407764000).

71122994320 is an abundant number, since it is smaller than the sum of its proper divisors (125692533680).

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

71122994320 is a wasteful number, since it uses less digits than its factorization.

71122994320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 71122994320 in words is "seventy-one billion, one hundred twenty-two million, nine hundred ninety-four thousand, three hundred twenty".