75240384 has 56 divisors (see below), whose sum is σ = 205953360. Its totient is φ = 24213504.

The previous prime is 75240359. The next prime is 75240409. The reversal of 75240384 is 48304257.

It is an interprime number because it is at equal distance from previous prime (75240359) and next prime (75240409).

It is a super-2 number, since 2×75240384² = 11322230768934912, which contains 22 as substring.

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, 1189 + ... + 12324.

Almost surely, 2^75240384 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 75240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102976680).

75240384 is an abundant number, since it is smaller than the sum of its proper divisors (130712976).

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

75240384 is a wasteful number, since it uses less digits than its factorization.

75240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13557 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 75240384 is about 8674.1215117152. The cubic root of 75240384 is about 422.1664026341.

The spelling of 75240384 in words is "seventy-five million, two hundred forty thousand, three hundred eighty-four".