75354 has 16 divisors (see below), whose sum is σ = 158880. Its totient is φ = 23760.

The previous prime is 75353. The next prime is 75367. The reversal of 75354 is 45357.

It is a d-powerful number, because it can be written as 7 + 5³ + 3⁸ + 5⁵ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (9930).

2⁷⁵³⁵⁴ is an apocalyptic number.

75354 is an abundant number, since it is smaller than the sum of its proper divisors (83526).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79440).

75354 is a wasteful number, since it uses less digits than its factorization.

75354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685.

The product of its digits is 2100, while the sum is 24.

The square root of 75354 is about 274.5068305161. The cubic root of 75354 is about 42.2378791836.

The spelling of 75354 in words is "seventy-five thousand, three hundred fifty-four".