72292353205081 has 9 divisors (see below), whose sum is σ = 72817374152991. Its totient is φ = 71771090989344.

The previous prime is 72292353205067. The next prime is 72292353205109. The reversal of 72292353205081 is 18050235329227.

The square root of 72292353205081 is 8502491.

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., 24529326438681 + 47763026766400 = 4952709^2 + 6911080^2 .

It is not a de Polignac number, because 72292353205081 - 2⁵ = 72292353205049 is a prime.

It is a super-2 number, since 2×72292353205081² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72292353205001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1181815665 + ... + 1181876833.

Almost surely, 2^{72292353205081} is an apocalyptic number.

72292353205081 is the 8502491-st square number.

72292353205081 is the 4251246-th centered octagonal number.

It is an amenable number.

72292353205081 is a deficient number, since it is larger than the sum of its proper divisors (525020947910).

72292353205081 is an frugal number, since it uses more digits than its factorization.

72292353205081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122616 (or 61308 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 72292353205081 in words is "seventy-two trillion, two hundred ninety-two billion, three hundred fifty-three million, two hundred five thousand, eighty-one".