72801026100 has 864 divisors, whose sum is σ = 281376740736. Its totient is φ = 16124313600.

The previous prime is 72801026059. The next prime is 72801026131. The reversal of 72801026100 is 162010827.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168131484 + ... + 168131916.

It is an arithmetic number, because the mean of its divisors is an integer number (325667524).

Almost surely, 2^72801026100 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 72801026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140688370368).

72801026100 is an abundant number, since it is smaller than the sum of its proper divisors (208575714636).

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

72801026100 is a wasteful number, since it uses less digits than its factorization.

72801026100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 72801026100 its reverse (162010827), we get a palindrome (72963036927).

The spelling of 72801026100 in words is "seventy-two billion, eight hundred one million, twenty-six thousand, one hundred".