71312625900 has 162 divisors, whose sum is σ = 235910221092. Its totient is φ = 18015739200.

The previous prime is 71312625887. The next prime is 71312625907. The reversal of 71312625900 is 952621317.

71312625900 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 2 + 62 + 590 + 0 = 666.

It is a super-2 number, since 2×71312625900² (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 not an unprimeable number, because it can be changed into a prime (71312625907) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 215155 + ... + 434645.

Almost surely, 2^71312625900 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 71312625900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117955110546).

71312625900 is an abundant number, since it is smaller than the sum of its proper divisors (164597595192).

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

71312625900 is a wasteful number, since it uses less digits than its factorization.

71312625900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219549 (or 219520 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 71312625900 in words is "seventy-one billion, three hundred twelve million, six hundred twenty-five thousand, nine hundred".