75417984 has 96 divisors (see below), whose sum is σ = 229848840. Its totient is φ = 23654400.

The previous prime is 75417971. The next prime is 75417997. The reversal of 75417984 is 48971457.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75417971) and next prime (75417997).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17659 + ... + 21509.

Almost surely, 2^75417984 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 75417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114924420).

75417984 is an abundant number, since it is smaller than the sum of its proper divisors (154430856).

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

75417984 is a wasteful number, since it uses less digits than its factorization.

75417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3873 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 75417984 is about 8684.3528256284. The cubic root of 75417984 is about 422.4983070086.

The spelling of 75417984 in words is "seventy-five million, four hundred seventeen thousand, nine hundred eighty-four".