75408 has 20 divisors (see below), whose sum is σ = 194928. Its totient is φ = 25120.
The previous prime is 75407. The next prime is 75431. The reversal of 75408 is 80457.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (75401) 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, 738 + ... + 833.
275408 is an apocalyptic number.
It is an amenable number.
75408 is an abundant number, since it is smaller than the sum of its proper divisors (119520).
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 (97464).
75408 is a wasteful number, since it uses less digits than its factorization.
75408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).
The product of its (nonzero) digits is 1120, while the sum is 24.
The square root of 75408 is about 274.6051711094. The cubic root of 75408 is about 42.2479662432.
The spelling of 75408 in words is "seventy-five thousand, four hundred eight".
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