75463752 has 128 divisors (see below), whose sum is σ = 235065600. Its totient is φ = 19657728.

The previous prime is 75463747. The next prime is 75463813. The reversal of 75463752 is 25736457.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 75463752.

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, 237898 + ... + 238214.

It is an arithmetic number, because the mean of its divisors is an integer number (1836450).

Almost surely, 2^75463752 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 75463752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117532800).

75463752 is an abundant number, since it is smaller than the sum of its proper divisors (159601848).

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

75463752 is a wasteful number, since it uses less digits than its factorization.

75463752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 75463752 is about 8686.9875100635. The cubic root of 75463752 is about 422.5837552056.

The spelling of 75463752 in words is "seventy-five million, four hundred sixty-three thousand, seven hundred fifty-two".