72053054329 has 9 divisors (see below), whose sum is σ = 73864591311. Its totient is φ = 70284925680.

The previous prime is 72053054287. The next prime is 72053054369. The reversal of 72053054329 is 92345035027.

The square root of 72053054329 is 268427.

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., 3471919929 + 68581134400 = 58923^2 + 261880^2 .

It is not a de Polignac number, because 72053054329 - 2⁹ = 72053053817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72053054291 and 72053054300.

It is not an unprimeable number, because it can be changed into a prime (72053054369) 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, 11002234 + ... + 11008780.

Almost surely, 2^72053054329 is an apocalyptic number.

72053054329 is the 268427-th square number.

72053054329 is the 134214-th centered octagonal number.

It is an amenable number.

72053054329 is a deficient number, since it is larger than the sum of its proper divisors (1811536982).

72053054329 is an frugal number, since it uses more digits than its factorization.

72053054329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 72053054329 in words is "seventy-two billion, fifty-three million, fifty-four thousand, three hundred twenty-nine".