73107920 has 80 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 27571200.

The previous prime is 73107911. The next prime is 73107929. The reversal of 73107920 is 2970137.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73107911) and next prime (73107929).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73107929) 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, 101321 + ... + 102039.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^73107920 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 73107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

73107920 is an abundant number, since it is smaller than the sum of its proper divisors (106880560).

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

73107920 is a wasteful number, since it uses less digits than its factorization.

73107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 73107920 is about 8550.3169531895. The cubic root of 73107920 is about 418.1397699602.

The spelling of 73107920 in words is "seventy-three million, one hundred seven thousand, nine hundred twenty".