73005120 has 84 divisors (see below), whose sum is σ = 251117100. Its totient is φ = 19467264.

The previous prime is 73005113. The next prime is 73005139. The reversal of 73005120 is 2150037.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 46131264 = 5184^2 + 6792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 73005093 and 73005102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9795 + ... + 15554.

Almost surely, 2^73005120 is an apocalyptic number.

It is an amenable number.

73005120 is an abundant number, since it is smaller than the sum of its proper divisors (178111980).

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

73005120 is a wasteful number, since it uses less digits than its factorization.

73005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25372 (or 25359 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 73005120 is about 8544.3033654008. The cubic root of 73005120 is about 417.9436902849.

Adding to 73005120 its reverse (2150037), we get a palindrome (75155157).

The spelling of 73005120 in words is "seventy-three million, five thousand, one hundred twenty".