72202056506500 has 96 divisors (see below), whose sum is σ = 167060411927136. Its totient is φ = 27166439116800.

The previous prime is 72202056506429. The next prime is 72202056506621. The reversal of 72202056506500 is 560565020227.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 66259860480256 + 5942196026244 = 8140016^2 + 2437662^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12477694 + ... + 17323306.

It is an arithmetic number, because the mean of its divisors is an integer number (1740212624241).

Almost surely, 2^{72202056506500} 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 72202056506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83530205963568).

72202056506500 is an abundant number, since it is smaller than the sum of its proper divisors (94858355420636).

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

72202056506500 is a wasteful number, since it uses less digits than its factorization.

72202056506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847402 (or 4847390 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 72202056506500 in words is "seventy-two trillion, two hundred two billion, fifty-six million, five hundred six thousand, five hundred".