75546216 has 64 divisors (see below), whose sum is σ = 210643200. Its totient is φ = 25087104.

The previous prime is 75546209. The next prime is 75546217. The reversal of 75546216 is 61264557.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (75546217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78796 + ... + 79748.

It is an arithmetic number, because the mean of its divisors is an integer number (3291300).

Almost surely, 2^75546216 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 75546216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105321600).

75546216 is an abundant number, since it is smaller than the sum of its proper divisors (135096984).

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

75546216 is a wasteful number, since it uses less digits than its factorization.

75546216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1325 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 75546216 is about 8691.7326235912. The cubic root of 75546216 is about 422.7376271421.

It can be divided in two parts, 755 and 46216, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 75546216 in words is "seventy-five million, five hundred forty-six thousand, two hundred sixteen".