73252505104 has 45 divisors (see below), whose sum is σ = 144105062989. Its totient is φ = 36072498560.

The previous prime is 73252505089. The next prime is 73252505107. The reversal of 73252505104 is 40150525237.

The square root of 73252505104 is 270652.

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., 30506115600 + 42746389504 = 174660^2 + 206752^2 .

It is a super-3 number, since 3×73252505104³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73252505104.

It is not an unprimeable number, because it can be changed into a prime (73252505107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76864692 + ... + 76865644.

Almost surely, 2^73252505104 is an apocalyptic number.

73252505104 is the 270652-nd square number.

It is an amenable number.

73252505104 is a deficient number, since it is larger than the sum of its proper divisors (70852557885).

73252505104 is an frugal number, since it uses more digits than its factorization.

73252505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 73252505104 in words is "seventy-three billion, two hundred fifty-two million, five hundred five thousand, one hundred four".