75537 has 24 divisors (see below), whose sum is σ = 137280. Its totient is φ = 38880.

The previous prime is 75533. The next prime is 75539. The reversal of 75537 is 73557.

It is not a de Polignac number, because 75537 - 2² = 75533 is a prime.

75537 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 75537.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75537.

It is not an unprimeable number, because it can be changed into a prime (75533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (5720).

2⁷⁵⁵³⁷ is an apocalyptic number.

75537 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75537 is a deficient number, since it is larger than the sum of its proper divisors (61743).

75537 is a wasteful number, since it uses less digits than its factorization.

75537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 75537 is about 274.8399534274. The cubic root of 75537 is about 42.2720436304.

The spelling of 75537 in words is "seventy-five thousand, five hundred thirty-seven".