71172375120 has 480 divisors, whose sum is σ = 313688494080. Its totient is φ = 14010485760.

The previous prime is 71172375097. The next prime is 71172375121. The reversal of 71172375120 is 2157327117.

It is a happy number.

71172375120 is a `hidden beast` number, since 7 + 117 + 23 + 7 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71172375121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019577 + ... + 1087143.

It is an arithmetic number, because the mean of its divisors is an integer number (653517696).

Almost surely, 2^71172375120 is an apocalyptic number.

71172375120 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 71172375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156844247040).

71172375120 is an abundant number, since it is smaller than the sum of its proper divisors (242516118960).

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

71172375120 is a wasteful number, since it uses less digits than its factorization.

71172375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67623 (or 67614 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 71172375120 in words is "seventy-one billion, one hundred seventy-two million, three hundred seventy-five thousand, one hundred twenty".