75116889 has 27 divisors (see below), whose sum is σ = 113732437. Its totient is φ = 49609908.

The previous prime is 75116887. The next prime is 75116911. The reversal of 75116889 is 98861157.

The square root of 75116889 is 8667.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 75116889 - 2¹ = 75116887 is a prime.

It is a super-3 number, since 3×75116889³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75116887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 701974 + ... + 702080.

Almost surely, 2^75116889 is an apocalyptic number.

75116889 is the 8667-th square number.

75116889 is the 4334-th centered octagonal number.

It is an amenable number.

75116889 is a deficient number, since it is larger than the sum of its proper divisors (38615548).

75116889 is an frugal number, since it uses more digits than its factorization.

75116889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 110 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The cubic root of 75116889 is about 421.9353033797.

It can be divided in two parts, 7511 and 6889, that added together give a square (14400 = 120²).

The spelling of 75116889 in words is "seventy-five million, one hundred sixteen thousand, eight hundred eighty-nine".