75116964 has 48 divisors (see below), whose sum is σ = 190019648. Its totient is φ = 22958208.

The previous prime is 75116959. The next prime is 75116969. The reversal of 75116964 is 46961157.

It is an interprime number because it is at equal distance from previous prime (75116959) and next prime (75116969).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (75116969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22959 + ... + 26025.

Almost surely, 2^75116964 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 75116964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95009824).

75116964 is an abundant number, since it is smaller than the sum of its proper divisors (114902684).

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

75116964 is a wasteful number, since it uses less digits than its factorization.

75116964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3242 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 75116964 is about 8667.0043267556. The cubic root of 75116964 is about 421.9354438059.

The spelling of 75116964 in words is "seventy-five million, one hundred sixteen thousand, nine hundred sixty-four".