72173359801 has 9 divisors (see below), whose sum is σ = 76673438191. Its totient is φ = 67923569632.

The previous prime is 72173359763. The next prime is 72173359849. The reversal of 72173359801 is 10895337127.

The square root of 72173359801 is 268651.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56190332025 + 15983027776 = 237045^2 + 126424^2 .

It is not a de Polignac number, because 72173359801 - 2¹⁵ = 72173327033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72173359861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4559166 + ... + 4574968.

Almost surely, 2^72173359801 is an apocalyptic number.

72173359801 is the 268651-st square number.

72173359801 is the 134326-th centered octagonal number.

It is an amenable number.

72173359801 is a deficient number, since it is larger than the sum of its proper divisors (4500078390).

72173359801 is an frugal number, since it uses more digits than its factorization.

72173359801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31640 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 72173359801 in words is "seventy-two billion, one hundred seventy-three million, three hundred fifty-nine thousand, eight hundred one".