75416704 has 64 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 33080320.

The previous prime is 75416687. The next prime is 75416713. The reversal of 75416704 is 40761457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 75416704.

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, 39909 + ... + 41755.

It is an arithmetic number, because the mean of its divisors is an integer number (2650725).

Almost surely, 2^75416704 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 75416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

75416704 is an abundant number, since it is smaller than the sum of its proper divisors (94229696).

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

75416704 is a wasteful number, since it uses less digits than its factorization.

75416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 75416704 is about 8684.2791295536. The cubic root of 75416704 is about 422.4959167702.

The spelling of 75416704 in words is "seventy-five million, four hundred sixteen thousand, seven hundred four".