75516 has 48 divisors (see below), whose sum is σ = 215040. Its totient is φ = 20160.

The previous prime is 75511. The next prime is 75521. The reversal of 75516 is 61557.

75516 = T₁₅ + T₁₆ + ... + T₇₆.

It is an interprime number because it is at equal distance from previous prime (75511) and next prime (75521).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75511) by changing a digit.

75516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁷⁵⁵¹⁶ 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 75516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

75516 is an abundant number, since it is smaller than the sum of its proper divisors (139524).

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

75516 is a wasteful number, since it uses less digits than its factorization.

75516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 75516 is about 274.8017467193. The cubic root of 75516 is about 42.2681259247.

It can be divided in two parts, 7551 and 6, that added together give a palindrome (7557).

The spelling of 75516 in words is "seventy-five thousand, five hundred sixteen".