71741527104 has 224 divisors, whose sum is σ = 215074048896. Its totient is φ = 20952760320.

The previous prime is 71741527073. The next prime is 71741527139. The reversal of 71741527104 is 40172514717.

It is a super-2 number, since 2×71741527104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3776959 + ... + 3795905.

It is an arithmetic number, because the mean of its divisors is an integer number (960152004).

Almost surely, 2^71741527104 is an apocalyptic number.

71741527104 is a gapful number since it is divisible by the number (74) 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 71741527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107537024448).

71741527104 is an abundant number, since it is smaller than the sum of its proper divisors (143332521792).

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

71741527104 is a wasteful number, since it uses less digits than its factorization.

71741527104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19053 (or 19043 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 71741527104 in words is "seventy-one billion, seven hundred forty-one million, five hundred twenty-seven thousand, one hundred four".