71759990400 has 1536 divisors, whose sum is σ = 307599360000. Its totient is φ = 14631321600.

The previous prime is 71759990389. The next prime is 71759990413. The reversal of 71759990400 is 409995717.

It is a happy number.

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, 1939459182 + ... + 1939459218.

It is an arithmetic number, because the mean of its divisors is an integer number (200260000).

Almost surely, 2^71759990400 is an apocalyptic number.

71759990400 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 71759990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153799680000).

71759990400 is an abundant number, since it is smaller than the sum of its proper divisors (235839369600).

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

71759990400 is a wasteful number, since it uses less digits than its factorization.

71759990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 51.

The spelling of 71759990400 in words is "seventy-one billion, seven hundred fifty-nine million, nine hundred ninety thousand, four hundred".