73038305536 has 243 divisors, whose sum is σ = 180410220459. Its totient is φ = 29421149184.

The previous prime is 73038305519. The next prime is 73038305537. The reversal of 73038305536 is 63550383037.

The square root of 73038305536 is 270256.

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

It is a junction number, because it is equal to n+sod(n) for n = 73038305492 and 73038305501.

It is not an unprimeable number, because it can be changed into a prime (73038305537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 575104705 + ... + 575104831.

Almost surely, 2^73038305536 is an apocalyptic number.

73038305536 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

73038305536 is the 270256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73038305536

73038305536 is an abundant number, since it is smaller than the sum of its proper divisors (107371914923).

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

73038305536 is an equidigital number, since it uses as much as digits as its factorization.

73038305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 73038305536 in words is "seventy-three billion, thirty-eight million, three hundred five thousand, five hundred thirty-six".