75816216 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 21116160.

The previous prime is 75816203. The next prime is 75816233. The reversal of 75816216 is 61261857.

75816216 is a `hidden beast` number, since 7 + 581 + 62 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61381 + ... + 62603.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^75816216 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 75816216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

75816216 is an abundant number, since it is smaller than the sum of its proper divisors (170942184).

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

75816216 is a wasteful number, since it uses less digits than its factorization.

75816216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 75816216 is about 8707.2507716271. The cubic root of 75816216 is about 423.2406457269.

The spelling of 75816216 in words is "seventy-five million, eight hundred sixteen thousand, two hundred sixteen".