75038 has 8 divisors (see below), whose sum is σ = 119232. Its totient is φ = 35296.

The previous prime is 75037. The next prime is 75041. The reversal of 75038 is 83057.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

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 75038.

It is not an unprimeable number, because it can be changed into a prime (75037) 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, 1070 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (14904).

2⁷⁵⁰³⁸ is an apocalyptic number.

75038 is a deficient number, since it is larger than the sum of its proper divisors (44194).

75038 is a wasteful number, since it uses less digits than its factorization.

75038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 75038 is about 273.9306481575. The cubic root of 75038 is about 42.1787543828.

The spelling of 75038 in words is "seventy-five thousand, thirty-eight".