72801056664 has 128 divisors (see below), whose sum is σ = 231770880000. Its totient is φ = 20741225472.

The previous prime is 72801056663. The next prime is 72801056687. The reversal of 72801056664 is 46665010827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801056663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465537 + ... + 601935.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710000).

Almost surely, 2^72801056664 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 72801056664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115885440000).

72801056664 is an abundant number, since it is smaller than the sum of its proper divisors (158969823336).

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

72801056664 is a wasteful number, since it uses less digits than its factorization.

72801056664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136774 (or 136764 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72801056664 in words is "seventy-two billion, eight hundred one million, fifty-six thousand, six hundred sixty-four".