72517055800 has 48 divisors (see below), whose sum is σ = 192688180560. Its totient is φ = 24862990080.

The previous prime is 72517055747. The next prime is 72517055801. The reversal of 72517055800 is 855071527.

It is a super-3 number, since 3×72517055800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72517055801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25897549 + ... + 25900348.

It is an arithmetic number, because the mean of its divisors is an integer number (4014337095).

Almost surely, 2^72517055800 is an apocalyptic number.

72517055800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72517055800 is an abundant number, since it is smaller than the sum of its proper divisors (120171124760).

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

72517055800 is a wasteful number, since it uses less digits than its factorization.

72517055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51797920 (or 51797911 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 40.

The spelling of 72517055800 in words is "seventy-two billion, five hundred seventeen million, fifty-five thousand, eight hundred".