71238873600 has 720 divisors, whose sum is σ = 276451100640. Its totient is φ = 17965670400.

The previous prime is 71238873593. The next prime is 71238873617. The reversal of 71238873600 is 637883217.

71238873600 is a `hidden beast` number, since 7 + 1 + 2 + 38 + 8 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×71238873600² (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 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 71 ways as a sum of consecutive naturals, for example, 124761315 + ... + 124761885.

It is an arithmetic number, because the mean of its divisors is an integer number (383959862).

Almost surely, 2^71238873600 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 71238873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138225550320).

71238873600 is an abundant number, since it is smaller than the sum of its proper divisors (205212227040).

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

71238873600 is a wasteful number, since it uses less digits than its factorization.

71238873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71238873600 in words is "seventy-one billion, two hundred thirty-eight million, eight hundred seventy-three thousand, six hundred".