72927168715856 has 320 divisors, whose sum is σ = 180168255160320. Its totient is φ = 27825011343360.

The previous prime is 72927168715853. The next prime is 72927168715859. The reversal of 72927168715856 is 65851786172927.

It is an interprime number because it is at equal distance from previous prime (72927168715853) and next prime (72927168715859).

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72927168715853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9037939790 + ... + 9037947858.

It is an arithmetic number, because the mean of its divisors is an integer number (563025797376).

Almost surely, 2^{72927168715856} 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 72927168715856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90084127580160).

72927168715856 is an abundant number, since it is smaller than the sum of its proper divisors (107241086444464).

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

72927168715856 is a wasteful number, since it uses less digits than its factorization.

72927168715856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9576 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 74.

The spelling of 72927168715856 in words is "seventy-two trillion, nine hundred twenty-seven billion, one hundred sixty-eight million, seven hundred fifteen thousand, eight hundred fifty-six".