75408416 has 48 divisors (see below), whose sum is σ = 158508000. Its totient is φ = 35209728.

The previous prime is 75408407. The next prime is 75408449. The reversal of 75408416 is 61480457.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43535 + ... + 45233.

It is an arithmetic number, because the mean of its divisors is an integer number (3302250).

Almost surely, 2^75408416 is an apocalyptic number.

75408416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79254000).

75408416 is an abundant number, since it is smaller than the sum of its proper divisors (83099584).

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

75408416 is a wasteful number, since it uses less digits than its factorization.

75408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 75408416 is about 8683.8019323336. The cubic root of 75408416 is about 422.4804393218.

The spelling of 75408416 in words is "seventy-five million, four hundred eight thousand, four hundred sixteen".