73263367296 has 320 divisors, whose sum is σ = 255921737280. Its totient is φ = 20365903872.

The previous prime is 73263367273. The next prime is 73263367301. The reversal of 73263367296 is 69276336237.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2671671 + ... + 2698953.

It is an arithmetic number, because the mean of its divisors is an integer number (799755429).

Almost surely, 2^73263367296 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 73263367296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960868640).

73263367296 is an abundant number, since it is smaller than the sum of its proper divisors (182658369984).

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

73263367296 is a wasteful number, since it uses less digits than its factorization.

73263367296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27353 (or 27332 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 54.

The spelling of 73263367296 in words is "seventy-three billion, two hundred sixty-three million, three hundred sixty-seven thousand, two hundred ninety-six".