75453408 has 72 divisors (see below), whose sum is σ = 225880200. Its totient is φ = 23825664.

The previous prime is 75453403. The next prime is 75453449. The reversal of 75453408 is 80435457.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×75453408³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75453403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 12366.

It is an arithmetic number, because the mean of its divisors is an integer number (3137225).

Almost surely, 2^75453408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75453408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112940100).

75453408 is an abundant number, since it is smaller than the sum of its proper divisors (150426792).

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

75453408 is a wasteful number, since it uses less digits than its factorization.

75453408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824 (or 13813 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75453408 is about 8686.3921164083. The cubic root of 75453408 is about 422.5644461290.

The spelling of 75453408 in words is "seventy-five million, four hundred fifty-three thousand, four hundred eight".