71825753440 has 192 divisors, whose sum is σ = 209708642304. Its totient is φ = 22683967488.

The previous prime is 71825753431. The next prime is 71825753477. The reversal of 71825753440 is 4435752817.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 854749 + ... + 935011.

It is an arithmetic number, because the mean of its divisors is an integer number (1092232512).

Almost surely, 2^71825753440 is an apocalyptic number.

71825753440 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 71825753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104854321152).

71825753440 is an abundant number, since it is smaller than the sum of its proper divisors (137882888864).

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

71825753440 is a wasteful number, since it uses less digits than its factorization.

71825753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80349 (or 80341 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 71825753440 in words is "seventy-one billion, eight hundred twenty-five million, seven hundred fifty-three thousand, four hundred forty".