72655114900 has 72 divisors (see below), whose sum is σ = 160128216416. Its totient is φ = 28607990400.

The previous prime is 72655114871. The next prime is 72655114901. The reversal of 72655114900 is 941155627.

It is a super-2 number, since 2×72655114900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72655114901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12465787 + ... + 12471613.

Almost surely, 2^72655114900 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 72655114900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80064108208).

72655114900 is an abundant number, since it is smaller than the sum of its proper divisors (87473101516).

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

72655114900 is a wasteful number, since it uses less digits than its factorization.

72655114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 72655114900 in words is "seventy-two billion, six hundred fifty-five million, one hundred fourteen thousand, nine hundred".