75416 has 16 divisors (see below), whose sum is σ = 154440. Its totient is φ = 34240.

The previous prime is 75407. The next prime is 75431. The reversal of 75416 is 61457.

75416 = 61² + 62² + ... + 76².

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 75391 and 75400.

It is a congruent number.

It is an unprimeable number.

75416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 341 + ... + 516.

2⁷⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

75416 is an abundant number, since it is smaller than the sum of its proper divisors (79024).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220).

75416 is a wasteful number, since it uses less digits than its factorization.

75416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 75416 is about 274.6197370911. The cubic root of 75416 is about 42.2494602128.

The spelling of 75416 in words is "seventy-five thousand, four hundred sixteen".