71044800 has 252 divisors, whose sum is σ = 251999496. Its totient is φ = 17510400.

The previous prime is 71044741. The next prime is 71044817. The reversal of 71044800 is 844017.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1732780 + ... + 1732820.

It is an arithmetic number, because the mean of its divisors is an integer number (999998).

Almost surely, 2^71044800 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 71044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125999748).

71044800 is an abundant number, since it is smaller than the sum of its proper divisors (180954696).

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

71044800 is a wasteful number, since it uses less digits than its factorization.

71044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 71044800 is about 8428.8077448712. The cubic root of 71044800 is about 414.1688498864.

Adding to 71044800 its reverse (844017), we get a palindrome (71888817).

The spelling of 71044800 in words is "seventy-one million, forty-four thousand, eight hundred".