75390 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 17184.

The previous prime is 75389. The next prime is 75391. The reversal of 75390 is 9357.

It is an interprime number because it is at equal distance from previous prime (75389) and next prime (75391).

It is a super-5 number, since 5×75390⁵ (a number of 26 digits) contains 55555 as substring.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 75390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁷⁵³⁹⁰ is an apocalyptic number.

75390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

75390 is an abundant number, since it is smaller than the sum of its proper divisors (131970).

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

75390 is a wasteful number, since it uses less digits than its factorization.

75390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 75390 is about 274.5723948251. The cubic root of 75390 is about 42.2446044252.

It can be divided in two parts, 75 and 390, that added together give a triangular number (465 = T₃₀).

The spelling of 75390 in words is "seventy-five thousand, three hundred ninety".