75189072 has 80 divisors (see below), whose sum is σ = 224132480. Its totient is φ = 21275136.

The previous prime is 75189053. The next prime is 75189077. The reversal of 75189072 is 27098157.

It is a self number, because there is not a number n which added to its sum of digits gives 75189072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75189077) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35598 + ... + 37650.

It is an arithmetic number, because the mean of its divisors is an integer number (2801656).

Almost surely, 2^75189072 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 75189072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112066240).

75189072 is an abundant number, since it is smaller than the sum of its proper divisors (148943408).

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

75189072 is a wasteful number, since it uses less digits than its factorization.

75189072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 75189072 is about 8671.1632437638. The cubic root of 75189072 is about 422.0704119461.

The spelling of 75189072 in words is "seventy-five million, one hundred eighty-nine thousand, seventy-two".