73217814528 has 78 divisors (see below), whose sum is σ = 195303681172. Its totient is φ = 24395939840.

The previous prime is 73217814499. The next prime is 73217814529. The reversal of 73217814528 is 82541871237.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73217814529) 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 5 ways as a sum of consecutive naturals, for example, 29993788 + ... + 29996228.

Almost surely, 2^73217814528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73217814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97651840586).

73217814528 is an abundant number, since it is smaller than the sum of its proper divisors (122085866644).

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

73217814528 is an frugal number, since it uses more digits than its factorization.

73217814528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 2446 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

Multiplying 73217814528 by its sum of digits (48), we get a square (3514455097344 = 1874688²).

73217814528 divided by its sum of digits (48) gives a square (1525371136 = 39056²).

The spelling of 73217814528 in words is "seventy-three billion, two hundred seventeen million, eight hundred fourteen thousand, five hundred twenty-eight".