71705255400 has 384 divisors, whose sum is σ = 272891462400. Its totient is φ = 17213644800.

The previous prime is 71705255399. The next prime is 71705255407. The reversal of 71705255400 is 455250717.

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

It is not an unprimeable number, because it can be changed into a prime (71705255407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2094420 + ... + 2128380.

It is an arithmetic number, because the mean of its divisors is an integer number (710654850).

Almost surely, 2^71705255400 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 71705255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136445731200).

71705255400 is an abundant number, since it is smaller than the sum of its proper divisors (201186207000).

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

71705255400 is a wasteful number, since it uses less digits than its factorization.

71705255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34026 (or 34011 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 71705255400 in words is "seventy-one billion, seven hundred five million, two hundred fifty-five thousand, four hundred".