75629216 has 48 divisors (see below), whose sum is σ = 165904200. Its totient is φ = 33696768.

The previous prime is 75629207. The next prime is 75629219. The reversal of 75629216 is 61292657.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46512400 + 29116816 = 6820^2 + 5396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75629216.

It is not an unprimeable number, because it can be changed into a prime (75629219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8930 + ... + 15198.

Almost surely, 2^75629216 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 75629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82952100).

75629216 is an abundant number, since it is smaller than the sum of its proper divisors (90274984).

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

75629216 is a wasteful number, since it uses less digits than its factorization.

75629216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321 (or 6313 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 75629216 is about 8696.5059650414. The cubic root of 75629216 is about 422.8923861891.

The spelling of 75629216 in words is "seventy-five million, six hundred twenty-nine thousand, two hundred sixteen".