75468456 has 256 divisors, whose sum is σ = 262656000. Its totient is φ = 19595520.

The previous prime is 75468443. The next prime is 75468473. The reversal of 75468456 is 65486457.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062901 + ... + 1062971.

It is an arithmetic number, because the mean of its divisors is an integer number (1026000).

Almost surely, 2^75468456 is an apocalyptic number.

75468456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75468456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

75468456 is an abundant number, since it is smaller than the sum of its proper divisors (187187544).

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

75468456 is a wasteful number, since it uses less digits than its factorization.

75468456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 75468456 is about 8687.2582556293. The cubic root of 75468456 is about 422.5925355477.

The spelling of 75468456 in words is "seventy-five million, four hundred sixty-eight thousand, four hundred fifty-six".