71282073600 has 420 divisors, whose sum is σ = 264123416634. Its totient is φ = 19004129280.

The previous prime is 71282073581. The next prime is 71282073613. The reversal of 71282073600 is 637028217.

71282073600 is a `hidden beast` number, since 7 + 1 + 28 + 20 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 53883408384 + 17398665216 = 232128^2 + 131904^2 .

It is a super-2 number, since 2×71282073600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16586652 + ... + 16590948.

Almost surely, 2^71282073600 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 71282073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132061708317).

71282073600 is an abundant number, since it is smaller than the sum of its proper divisors (192841343034).

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

71282073600 is an equidigital number, since it uses as much as digits as its factorization.

71282073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 71282073600 in words is "seventy-one billion, two hundred eighty-two million, seventy-three thousand, six hundred".