73167480 has 144 divisors (see below), whose sum is σ = 251414280. Its totient is φ = 18451584.

The previous prime is 73167433. The next prime is 73167481. The reversal of 73167480 is 8476137.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73167481) 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 35 ways as a sum of consecutive naturals, for example, 129679 + ... + 130241.

Almost surely, 2^73167480 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 73167480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125707140).

73167480 is an abundant number, since it is smaller than the sum of its proper divisors (178246800).

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

73167480 is a wasteful number, since it uses less digits than its factorization.

73167480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73167480 is about 8553.7991559307. The cubic root of 73167480 is about 418.2532900123.

The spelling of 73167480 in words is "seventy-three million, one hundred sixty-seven thousand, four hundred eighty".