71010144072 has 64 divisors (see below), whose sum is σ = 225429033600. Its totient is φ = 20288612160.

The previous prime is 71010144031. The next prime is 71010144091. The reversal of 71010144072 is 27044101017.

It is a super-2 number, since 2×71010144072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 23480679 + ... + 23483702.

It is an arithmetic number, because the mean of its divisors is an integer number (3522328650).

Almost surely, 2^71010144072 is an apocalyptic number.

71010144072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71010144072 is an abundant number, since it is smaller than the sum of its proper divisors (154418889528).

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

71010144072 is a wasteful number, since it uses less digits than its factorization.

71010144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46964403 (or 46964393 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 71010144072 its reverse (27044101017), we get a palindrome (98054245089).

The spelling of 71010144072 in words is "seventy-one billion, ten million, one hundred forty-four thousand, seventy-two".