75417696 has 96 divisors (see below), whose sum is σ = 225439200. Its totient is φ = 24514560.

The previous prime is 75417689. The next prime is 75417721. The reversal of 75417696 is 69671457.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34360 + ... + 36488.

It is an arithmetic number, because the mean of its divisors is an integer number (2348325).

Almost surely, 2^75417696 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 75417696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112719600).

75417696 is an abundant number, since it is smaller than the sum of its proper divisors (150021504).

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

75417696 is a wasteful number, since it uses less digits than its factorization.

75417696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2175 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 75417696 is about 8684.3362440661. The cubic root of 75417696 is about 422.4977692073.

The spelling of 75417696 in words is "seventy-five million, four hundred seventeen thousand, six hundred ninety-six".