73018320 has 80 divisors (see below), whose sum is σ = 227247360. Its totient is φ = 19395072.

The previous prime is 73018301. The next prime is 73018321. The reversal of 73018320 is 2381037.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73018321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87666 + ... + 88494.

It is an arithmetic number, because the mean of its divisors is an integer number (2840592).

Almost surely, 2^73018320 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 73018320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113623680).

73018320 is an abundant number, since it is smaller than the sum of its proper divisors (154229040).

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

73018320 is a wasteful number, since it uses less digits than its factorization.

73018320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73018320 is about 8545.0757749712. The cubic root of 73018320 is about 417.9688781267.

Adding to 73018320 its reverse (2381037), we get a palindrome (75399357).

The spelling of 73018320 in words is "seventy-three million, eighteen thousand, three hundred twenty".