72258510800221 has 4 divisors (see below), whose sum is σ = 72275711116444. Its totient is φ = 72241310484000.

The previous prime is 72258510800213. The next prime is 72258510800239. The reversal of 72258510800221 is 12200801585227.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26058472562500 + 46200038237721 = 5104750^2 + 6797061^2 .

It is a cyclic number.

It is not a de Polignac number, because 72258510800221 - 2³ = 72258510800213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72258510800251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8600151810 + ... + 8600160211.

It is an arithmetic number, because the mean of its divisors is an integer number (18068927779111).

Almost surely, 2^{72258510800221} is an apocalyptic number.

It is an amenable number.

72258510800221 is a deficient number, since it is larger than the sum of its proper divisors (17200316223).

72258510800221 is a wasteful number, since it uses less digits than its factorization.

72258510800221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17200316222.

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 72258510800221 in words is "seventy-two trillion, two hundred fifty-eight billion, five hundred ten million, eight hundred thousand, two hundred twenty-one".