71401522724544 has 224 divisors, whose sum is σ = 203482205948160. Its totient is φ = 22014030610432.

The previous prime is 71401522724501. The next prime is 71401522724563. The reversal of 71401522724544 is 44542722510417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 71401522724493 and 71401522724502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644496484 + ... + 644607260.

Almost surely, 2^{71401522724544} 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 71401522724544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101741102974080).

71401522724544 is an abundant number, since it is smaller than the sum of its proper divisors (132080683223616).

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

71401522724544 is a wasteful number, since it uses less digits than its factorization.

71401522724544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114215 (or 114205 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 48.

The spelling of 71401522724544 in words is "seventy-one trillion, four hundred one billion, five hundred twenty-two million, seven hundred twenty-four thousand, five hundred forty-four".