73025533793280 has 176 divisors, whose sum is σ = 233599749062400. Its totient is φ = 19470795767808.

The previous prime is 73025533793221. The next prime is 73025533793281. The reversal of 73025533793280 is 8239733552037.

It is a self number, because there is not a number n which added to its sum of digits gives 73025533793280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73025533793281) 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 15 ways as a sum of consecutive naturals, for example, 112557177 + ... + 113204103.

Almost surely, 2^{73025533793280} 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 73025533793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116799874531200).

73025533793280 is an abundant number, since it is smaller than the sum of its proper divisors (160574215269120).

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

73025533793280 is a wasteful number, since it uses less digits than its factorization.

73025533793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654304 (or 654286 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 57.

The spelling of 73025533793280 in words is "seventy-three trillion, twenty-five billion, five hundred thirty-three million, seven hundred ninety-three thousand, two hundred eighty".