71287393800 has 384 divisors, whose sum is σ = 260383334400. Its totient is φ = 15797376000.

The previous prime is 71287393789. The next prime is 71287393811. The reversal of 71287393800 is 839378217.

It is an interprime number because it is at equal distance from previous prime (71287393789) and next prime (71287393811).

It is a self number, because there is not a number n which added to its sum of digits gives 71287393800.

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, 18188241 + ... + 18192159.

It is an arithmetic number, because the mean of its divisors is an integer number (678081600).

Almost surely, 2^71287393800 is an apocalyptic number.

71287393800 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 71287393800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130191667200).

71287393800 is an abundant number, since it is smaller than the sum of its proper divisors (189095940600).

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

71287393800 is a wasteful number, since it uses less digits than its factorization.

71287393800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 71287393800 in words is "seventy-one billion, two hundred eighty-seven million, three hundred ninety-three thousand, eight hundred".