71918504100 has 144 divisors (see below), whose sum is σ = 231322069440. Its totient is φ = 19168531200.

The previous prime is 71918504081. The next prime is 71918504111. The reversal of 71918504100 is 140581917.

71918504100 is a `hidden beast` number, since 7 + 191 + 8 + 50 + 410 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6455535 + ... + 6466665.

It is an arithmetic number, because the mean of its divisors is an integer number (1606403260).

Almost surely, 2^71918504100 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 71918504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115661034720).

71918504100 is an abundant number, since it is smaller than the sum of its proper divisors (159403565340).

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

71918504100 is a wasteful number, since it uses less digits than its factorization.

71918504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13547 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 71918504100 in words is "seventy-one billion, nine hundred eighteen million, five hundred four thousand, one hundred".