72768326904 has 648 divisors, whose sum is σ = 258535255680. Its totient is φ = 18426320640.

The previous prime is 72768326867. The next prime is 72768326941. The reversal of 72768326904 is 40962386727.

It is an interprime number because it is at equal distance from previous prime (72768326867) and next prime (72768326941).

It is a congruent number.

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 161 ways as a sum of consecutive naturals, for example, 572978889 + ... + 572979015.

It is an arithmetic number, because the mean of its divisors is an integer number (398974160).

Almost surely, 2^72768326904 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 72768326904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129267627840).

72768326904 is an abundant number, since it is smaller than the sum of its proper divisors (185766928776).

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

72768326904 is a wasteful number, since it uses less digits than its factorization.

72768326904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72768326904 in words is "seventy-two billion, seven hundred sixty-eight million, three hundred twenty-six thousand, nine hundred four".