75249984 has 56 divisors (see below), whose sum is σ = 199847200. Its totient is φ = 24989184.

The previous prime is 75249959. The next prime is 75250031. The reversal of 75249984 is 48994257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66447 + ... + 67569.

It is an arithmetic number, because the mean of its divisors is an integer number (3568700).

Almost surely, 2^75249984 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 75249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99923600).

75249984 is an abundant number, since it is smaller than the sum of its proper divisors (124597216).

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

75249984 is a wasteful number, since it uses less digits than its factorization.

75249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1477 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 75249984 is about 8674.6748642240. The cubic root of 75249984 is about 422.1843567561.

The spelling of 75249984 in words is "seventy-five million, two hundred forty-nine thousand, nine hundred eighty-four".