73895120 has 80 divisors (see below), whose sum is σ = 189644112. Its totient is φ = 26603520.

The previous prime is 73895119. The next prime is 73895137. The reversal of 73895120 is 2159837.

It can be written as a sum of positive squares in 8 ways, for example, as 21939856 + 51955264 = 4684^2 + 7208^2 .

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

It is a congruent number.

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, 41774 + ... + 43506.

Almost surely, 2^73895120 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 73895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94822056).

73895120 is an abundant number, since it is smaller than the sum of its proper divisors (115748992).

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

73895120 is a wasteful number, since it uses less digits than its factorization.

73895120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 73895120 is about 8596.2270793645. The cubic root of 73895120 is about 419.6352085730.

The spelling of 73895120 in words is "seventy-three million, eight hundred ninety-five thousand, one hundred twenty".