72429342129 has 45 divisors (see below), whose sum is σ = 115001205627. Its totient is φ = 45420025536.

The previous prime is 72429342101. The next prime is 72429342131. The reversal of 72429342129 is 92124392427.

The square root of 72429342129 is 269127.

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

72429342129 is a `hidden beast` number, since 7 + 2 + 429 + 3 + 4 + 212 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56389626225 + 16039715904 = 237465^2 + 126648^2 .

It is not a de Polignac number, because 72429342129 - 2⁹ = 72429341617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72429342169) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41175552 + ... + 41177310.

Almost surely, 2^72429342129 is an apocalyptic number.

72429342129 is the 269127-th square number.

72429342129 is the 134564-th centered octagonal number.

It is an amenable number.

72429342129 is a deficient number, since it is larger than the sum of its proper divisors (42571863498).

72429342129 is an frugal number, since it uses more digits than its factorization.

72429342129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 1779 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 72429342129 in words is "seventy-two billion, four hundred twenty-nine million, three hundred forty-two thousand, one hundred twenty-nine".