73931785216 has 99 divisors (see below), whose sum is σ = 153587541991. Its totient is φ = 35569393664.

The previous prime is 73931785211. The next prime is 73931785223. The reversal of 73931785216 is 61258713937.

The square root of 73931785216 is 271904.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21904000000 + 52027785216 = 148000^2 + 228096^2 .

It is a Duffinian number.

Its product of digits (1905120) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (73931785211) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 252326766 + ... + 252327058.

Almost surely, 2^73931785216 is an apocalyptic number.

73931785216 is the 271904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73931785216

73931785216 is an abundant number, since it is smaller than the sum of its proper divisors (79655756775).

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

73931785216 is an frugal number, since it uses more digits than its factorization.

73931785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 324 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The spelling of 73931785216 in words is "seventy-three billion, nine hundred thirty-one million, seven hundred eighty-five thousand, two hundred sixteen".