71052733440 has 1056 divisors, whose sum is σ = 288410443776. Its totient is φ = 16641884160.

The previous prime is 71052733421. The next prime is 71052733441. The reversal of 71052733440 is 4433725017.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71052733395 and 71052733404.

It is not an unprimeable number, because it can be changed into a prime (71052733441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372003745 + ... + 372003935.

Almost surely, 2^71052733440 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 71052733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144205221888).

71052733440 is an abundant number, since it is smaller than the sum of its proper divisors (217357710336).

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

71052733440 is a wasteful number, since it uses less digits than its factorization.

71052733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 71052733440 in words is "seventy-one billion, fifty-two million, seven hundred thirty-three thousand, four hundred forty".