72729035409424 has 15 divisors (see below), whose sum is σ = 140912572198813. Its totient is φ = 36364500648448.

The previous prime is 72729035409377. The next prime is 72729035409467. The reversal of 72729035409424 is 42490453092727.

The square root of 72729035409424 is 8528132.

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., 31142426691600 + 41586608717824 = 5580540^2 + 6448768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33046512 + ... + 35178544.

Almost surely, 2^{72729035409424} is an apocalyptic number.

72729035409424 is the 8528132-nd square number.

It is an amenable number.

72729035409424 is a deficient number, since it is larger than the sum of its proper divisors (68183536789389).

72729035409424 is an frugal number, since it uses more digits than its factorization.

72729035409424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264074 (or 2132035 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 72729035409424 in words is "seventy-two trillion, seven hundred twenty-nine billion, thirty-five million, four hundred nine thousand, four hundred twenty-four".