72123936481 has 9 divisors (see below), whose sum is σ = 72872511123. Its totient is φ = 71382982200.

The previous prime is 72123936473. The next prime is 72123936509. The reversal of 72123936481 is 18463932127.

The square root of 72123936481 is 268559.

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., 69295824081 + 2828112400 = 263241^2 + 53180^2 .

It is not a de Polignac number, because 72123936481 - 2³ = 72123936473 is a prime.

It is a super-2 number, since 2×72123936481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72123936431) 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, 27123130 + ... + 27125788.

Almost surely, 2^72123936481 is an apocalyptic number.

72123936481 is the 268559-th square number.

72123936481 is the 134280-th centered octagonal number.

It is an amenable number.

72123936481 is a deficient number, since it is larger than the sum of its proper divisors (748574642).

72123936481 is an frugal number, since it uses more digits than its factorization.

72123936481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The spelling of 72123936481 in words is "seventy-two billion, one hundred twenty-three million, nine hundred thirty-six thousand, four hundred eighty-one".