75616 has 24 divisors (see below), whose sum is σ = 158760. Its totient is φ = 35328.

The previous prime is 75611. The next prime is 75617. The reversal of 75616 is 61657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁷⁵⁶¹⁶ 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 75616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

75616 is an abundant number, since it is smaller than the sum of its proper divisors (83144).

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

75616 is a wasteful number, since it uses less digits than its factorization.

75616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 75616 is about 274.9836358768. The cubic root of 75616 is about 42.2867751656.

The spelling of 75616 in words is "seventy-five thousand, six hundred sixteen".