73173120 has 128 divisors (see below), whose sum is σ = 243527040. Its totient is φ = 18653184.

The previous prime is 73173109. The next prime is 73173131. The reversal of 73173120 is 2137137.

It is an interprime number because it is at equal distance from previous prime (73173109) and next prime (73173131).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43332 + ... + 44988.

It is an arithmetic number, because the mean of its divisors is an integer number (1902555).

Almost surely, 2^73173120 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 73173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121763520).

73173120 is an abundant number, since it is smaller than the sum of its proper divisors (170353920).

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

73173120 is a wasteful number, since it uses less digits than its factorization.

73173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 73173120 is about 8554.1288276481. The cubic root of 73173120 is about 418.2640365350.

The spelling of 73173120 in words is "seventy-three million, one hundred seventy-three thousand, one hundred twenty".