71249068800 has 1728 divisors, whose sum is σ = 337238415360. Its totient is φ = 14306181120.

The previous prime is 71249068771. The next prime is 71249068819. The reversal of 71249068800 is 886094217.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 361670302 + ... + 361670498.

It is an arithmetic number, because the mean of its divisors is an integer number (195161120).

Almost surely, 2^71249068800 is an apocalyptic number.

71249068800 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 71249068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168619207680).

71249068800 is an abundant number, since it is smaller than the sum of its proper divisors (265989346560).

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

71249068800 is a wasteful number, since it uses less digits than its factorization.

71249068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71249068800 in words is "seventy-one billion, two hundred forty-nine million, sixty-eight thousand, eight hundred".