75189672 has 48 divisors (see below), whose sum is σ = 206232000. Its totient is φ = 24744096.

The previous prime is 75189641. The next prime is 75189679. The reversal of 75189672 is 27698157.

It is not an unprimeable number, because it can be changed into a prime (75189679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (4296500).

Almost surely, 2^75189672 is an apocalyptic number.

75189672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75189672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103116000).

75189672 is an abundant number, since it is smaller than the sum of its proper divisors (131042328).

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

75189672 is a wasteful number, since it uses less digits than its factorization.

75189672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13303 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 75189672 is about 8671.1978411290. The cubic root of 75189672 is about 422.0715346339.

The spelling of 75189672 in words is "seventy-five million, one hundred eighty-nine thousand, six hundred seventy-two".