75417420 has 96 divisors (see below), whose sum is σ = 234823680. Its totient is φ = 17959680.

The previous prime is 75417413. The next prime is 75417439. The reversal of 75417420 is 2471457.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22621 + ... + 25739.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^75417420 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 75417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840).

75417420 is an abundant number, since it is smaller than the sum of its proper divisors (159406260).

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

75417420 is a wasteful number, since it uses less digits than its factorization.

75417420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 75417420 is about 8684.3203533725. The cubic root of 75417420 is about 422.4972538131.

Adding to 75417420 its reverse (2471457), we get a palindrome (77888877).

The spelling of 75417420 in words is "seventy-five million, four hundred seventeen thousand, four hundred twenty".