75416264 has 64 divisors (see below), whose sum is σ = 183997440. Its totient is φ = 28100160.

The previous prime is 75416251. The next prime is 75416279. The reversal of 75416264 is 46261457.

It is a super-2 number, since 2×75416264² = 11375225751435392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11507 + ... + 16829.

It is an arithmetic number, because the mean of its divisors is an integer number (2874960).

Almost surely, 2^75416264 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 75416264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91998720).

75416264 is an abundant number, since it is smaller than the sum of its proper divisors (108581176).

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

75416264 is a wasteful number, since it uses less digits than its factorization.

75416264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5366 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 75416264 is about 8684.2537963834. The cubic root of 75416264 is about 422.4950951195.

The spelling of 75416264 in words is "seventy-five million, four hundred sixteen thousand, two hundred sixty-four".