73186480 has 80 divisors (see below), whose sum is σ = 181461600. Its totient is φ = 27371520.

The previous prime is 73186453. The next prime is 73186489. The reversal of 73186480 is 8468137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (73186489) 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, 135010 + ... + 135550.

It is an arithmetic number, because the mean of its divisors is an integer number (2268270).

Almost surely, 2^73186480 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 73186480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90730800).

73186480 is an abundant number, since it is smaller than the sum of its proper divisors (108275120).

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

73186480 is a wasteful number, since it uses less digits than its factorization.

73186480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 73186480 is about 8554.9097014521. The cubic root of 73186480 is about 418.2894906338.

The spelling of 73186480 in words is "seventy-three million, one hundred eighty-six thousand, four hundred eighty".