73186480752 has 160 divisors (see below), whose sum is σ = 240528652800. Its totient is φ = 19009428480.

The previous prime is 73186480747. The next prime is 73186480777. The reversal of 73186480752 is 25708468137.

It is a junction number, because it is equal to n+sod(n) for n = 73186480695 and 73186480704.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20953 + ... + 383160.

It is an arithmetic number, because the mean of its divisors is an integer number (1503304080).

Almost surely, 2^73186480752 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 73186480752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120264326400).

73186480752 is an abundant number, since it is smaller than the sum of its proper divisors (167342172048).

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

73186480752 is a wasteful number, since it uses less digits than its factorization.

73186480752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404156 (or 404136 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 73186480752 in words is "seventy-three billion, one hundred eighty-six million, four hundred eighty thousand, seven hundred fifty-two".