75189840 has 160 divisors (see below), whose sum is σ = 267840000. Its totient is φ = 17256960.

The previous prime is 75189839. The next prime is 75189853. The reversal of 75189840 is 4898157.

It is a junction number, because it is equal to n+sod(n) for n = 75189792 and 75189801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49411 + ... + 50909.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^75189840 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 75189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

75189840 is an abundant number, since it is smaller than the sum of its proper divisors (192650160).

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

75189840 is a wasteful number, since it uses less digits than its factorization.

75189840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 75189840 is about 8671.2075283665. The cubic root of 75189840 is about 422.0718489855.

The spelling of 75189840 in words is "seventy-five million, one hundred eighty-nine thousand, eight hundred forty".