75505120 has 24 divisors (see below), whose sum is σ = 178381224. Its totient is φ = 30201984.

The previous prime is 75505117. The next prime is 75505121. The reversal of 75505120 is 2150557.

It is a happy number.

It is a super-3 number, since 3×75505120³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75505121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235794 + ... + 236113.

It is an arithmetic number, because the mean of its divisors is an integer number (7432551).

Almost surely, 2^75505120 is an apocalyptic number.

It is an amenable number.

75505120 is an abundant number, since it is smaller than the sum of its proper divisors (102876104).

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

75505120 is a wasteful number, since it uses less digits than its factorization.

75505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471922 (or 471914 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 75505120 is about 8689.3682163895. The cubic root of 75505120 is about 422.6609589444.

Adding to 75505120 its reverse (2150557), we get a palindrome (77655677).

It can be divided in two parts, 75505 and 120, that added together give a square (75625 = 275²).

The spelling of 75505120 in words is "seventy-five million, five hundred five thousand, one hundred twenty".