72131456329 has 3 divisors (see below), whose sum is σ = 72131724903. Its totient is φ = 72131187756.

The previous prime is 72131456291. The next prime is 72131456359. The reversal of 72131456329 is 92365413127.

The square root of 72131456329 is 268573.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 13251463225 + 58879993104 = 115115^2 + 242652^2 .

It is not a de Polignac number, because 72131456329 - 2⁹ = 72131455817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72131456359) 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 2 ways as a sum of consecutive naturals, for example, 134287 + ... + 402859.

It is an arithmetic number, because the mean of its divisors is an integer number (24043908301).

Almost surely, 2^72131456329 is an apocalyptic number.

72131456329 is the 268573-rd square number.

72131456329 is the 134287-th centered octagonal number.

It is an amenable number.

72131456329 is a deficient number, since it is larger than the sum of its proper divisors (268574).

72131456329 is an frugal number, since it uses more digits than its factorization.

72131456329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537146 (or 268573 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The spelling of 72131456329 in words is "seventy-two billion, one hundred thirty-one million, four hundred fifty-six thousand, three hundred twenty-nine".