72024067129 has 15 divisors (see below), whose sum is σ = 84038422607. Its totient is φ = 61723643016.

The previous prime is 72024067123. The next prime is 72024067147. The reversal of 72024067129 is 92176042027.

The square root of 72024067129 is 268373.

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., 71971475625 + 52591504 = 268275^2 + 7252^2 .

It is not a de Polignac number, because 72024067129 - 2¹¹ = 72024065081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72024067091 and 72024067100.

It is not an unprimeable number, because it can be changed into a prime (72024067123) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13147539 + ... + 13153015.

Almost surely, 2^72024067129 is an apocalyptic number.

72024067129 is the 268373-rd square number.

72024067129 is the 134187-th centered octagonal number.

It is an amenable number.

72024067129 is a deficient number, since it is larger than the sum of its proper divisors (12014355478).

72024067129 is an frugal number, since it uses more digits than its factorization.

72024067129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 72024067129 in words is "seventy-two billion, twenty-four million, sixty-seven thousand, one hundred twenty-nine".