71287257600 has 1440 divisors, whose sum is σ = 298654259904. Its totient is φ = 16721510400.

The previous prime is 71287257599. The next prime is 71287257611. The reversal of 71287257600 is 675278217.

71287257600 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 72 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×71287257600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1657843179 + ... + 1657843221.

Almost surely, 2^71287257600 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 71287257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149327129952).

71287257600 is an abundant number, since it is smaller than the sum of its proper divisors (227367002304).

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

71287257600 is a wasteful number, since it uses less digits than its factorization.

71287257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 71287257600 in words is "seventy-one billion, two hundred eighty-seven million, two hundred fifty-seven thousand, six hundred".