75116460 has 48 divisors (see below), whose sum is σ = 211744512. Its totient is φ = 19896000.

The previous prime is 75116449. The next prime is 75116471. The reversal of 75116460 is 6461157.

It is an interprime number because it is at equal distance from previous prime (75116449) and next prime (75116471).

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 15 ways as a sum of consecutive naturals, for example, 4915 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (4411344).

Almost surely, 2^75116460 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 75116460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105872256).

75116460 is an abundant number, since it is smaller than the sum of its proper divisors (136628052).

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

75116460 is a wasteful number, since it uses less digits than its factorization.

75116460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 75116460 is about 8666.9752509166. The cubic root of 75116460 is about 421.9345001401.

The spelling of 75116460 in words is "seventy-five million, one hundred sixteen thousand, four hundred sixty".