71352078336 has 1248 divisors, whose sum is σ = 286226304000. Its totient is φ = 17557585920.

The previous prime is 71352078293. The next prime is 71352078349. The reversal of 71352078336 is 63387025317.

71352078336 is a `hidden beast` number, since 7 + 13 + 520 + 7 + 83 + 36 = 666.

It is a super-2 number, since 2×71352078336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71352078291 and 71352078300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3755372535 + ... + 3755372553.

It is an arithmetic number, because the mean of its divisors is an integer number (229348000).

Almost surely, 2^71352078336 is an apocalyptic number.

71352078336 is a gapful number since it is divisible by the number (76) 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 71352078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113152000).

71352078336 is an abundant number, since it is smaller than the sum of its proper divisors (214874225664).

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

71352078336 is an equidigital number, since it uses as much as digits as its factorization.

71352078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 71352078336 in words is "seventy-one billion, three hundred fifty-two million, seventy-eight thousand, three hundred thirty-six".