71794172736 has 504 divisors, whose sum is σ = 250087192992. Its totient is φ = 19413043200.

The previous prime is 71794172729. The next prime is 71794172743. The reversal of 71794172736 is 63727149717.

71794172736 is a `hidden beast` number, since 7 + 179 + 417 + 27 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (71794172729) and next prime (71794172743).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79155195 + ... + 79156101.

It is an arithmetic number, because the mean of its divisors is an integer number (496204748).

Almost surely, 2^71794172736 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 71794172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125043596496).

71794172736 is an abundant number, since it is smaller than the sum of its proper divisors (178293020256).

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

71794172736 is a wasteful number, since it uses less digits than its factorization.

71794172736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 967 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The spelling of 71794172736 in words is "seventy-one billion, seven hundred ninety-four million, one hundred seventy-two thousand, seven hundred thirty-six".