73537875 has 64 divisors (see below), whose sum is σ = 138153600. Its totient is φ = 39074400.

The previous prime is 73537873. The next prime is 73537883. The reversal of 73537875 is 57873537.

It is not a de Polignac number, because 73537875 - 2¹ = 73537873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 73537875.

It is not an unprimeable number, because it can be changed into a prime (73537873) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 273241 + ... + 273509.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 2^73537875 is an apocalyptic number.

73537875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73537875 is a deficient number, since it is larger than the sum of its proper divisors (64615725).

73537875 is an frugal number, since it uses more digits than its factorization.

73537875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 73537875 is about 8575.4227301049. The cubic root of 73537875 is about 418.9578755524.

The spelling of 73537875 in words is "seventy-three million, five hundred thirty-seven thousand, eight hundred seventy-five".