73126320 has 80 divisors (see below), whose sum is σ = 229485312. Its totient is φ = 19260160.

The previous prime is 73126301. The next prime is 73126321. The reversal of 73126320 is 2362137.

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 not an unprimeable number, because it can be changed into a prime (73126321) 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, 18085 + ... + 21755.

Almost surely, 2^73126320 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 73126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742656).

73126320 is an abundant number, since it is smaller than the sum of its proper divisors (156358992).

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

73126320 is a wasteful number, since it uses less digits than its factorization.

73126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 73126320 is about 8551.3928690009. The cubic root of 73126320 is about 418.1748465355.

Adding to 73126320 its reverse (2362137), we get a palindrome (75488457).

The spelling of 73126320 in words is "seventy-three million, one hundred twenty-six thousand, three hundred twenty".