75211416 has 96 divisors (see below), whose sum is σ = 241463040. Its totient is φ = 21485088.

The previous prime is 75211393. The next prime is 75211427. The reversal of 75211416 is 61411257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 75211416.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10845 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (2515240).

Almost surely, 2^75211416 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 75211416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120731520).

75211416 is an abundant number, since it is smaller than the sum of its proper divisors (166251624).

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

75211416 is a wasteful number, since it uses less digits than its factorization.

75211416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5539 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 75211416 is about 8672.4515565093. The cubic root of 75211416 is about 422.1122168122.

The spelling of 75211416 in words is "seventy-five million, two hundred eleven thousand, four hundred sixteen".