75218416 has 80 divisors (see below), whose sum is σ = 188876800. Its totient is φ = 28180224.

The previous prime is 75218413. The next prime is 75218443. The reversal of 75218416 is 61481257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75218411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26305 + ... + 29023.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2^75218416 is an apocalyptic number.

75218416 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 75218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94438400).

75218416 is an abundant number, since it is smaller than the sum of its proper divisors (113658384).

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

75218416 is a wasteful number, since it uses less digits than its factorization.

75218416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 75218416 is about 8672.8551238909. The cubic root of 75218416 is about 422.1253118715.

The spelling of 75218416 in words is "seventy-five million, two hundred eighteen thousand, four hundred sixteen".