73102363200064 has 63 divisors (see below), whose sum is σ = 159450506936931. Its totient is φ = 33228004909440.

The previous prime is 73102363200049. The next prime is 73102363200137. The reversal of 73102363200064 is 46000236320137.

The square root of 73102363200064 is 8549992.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73102363199996 and 73102363200032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 752350717 + ... + 752447875.

Almost surely, 2^{73102363200064} is an apocalyptic number.

73102363200064 is the 8549992-nd square number.

It is an amenable number.

73102363200064 is an abundant number, since it is smaller than the sum of its proper divisors (86348143736867).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73102363200064 is an frugal number, since it uses more digits than its factorization.

73102363200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194352 (or 97172 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The spelling of 73102363200064 in words is "seventy-three trillion, one hundred two billion, three hundred sixty-three million, two hundred thousand, sixty-four".