75125232 has 300 divisors, whose sum is σ = 274573200. Its totient is φ = 19813248.

The previous prime is 75125201. The next prime is 75125251. The reversal of 75125232 is 23252157.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4200) is a multiple of the sum of its prime divisors (25).

It is a junction number, because it is equal to n+sod(n) for n = 75125196 and 75125205.

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 59 ways as a sum of consecutive naturals, for example, 5778858 + ... + 5778870.

It is an arithmetic number, because the mean of its divisors is an integer number (915244).

Almost surely, 2^75125232 is an apocalyptic number.

75125232 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 75125232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137286600).

75125232 is an abundant number, since it is smaller than the sum of its proper divisors (199447968).

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

75125232 is a wasteful number, since it uses less digits than its factorization.

75125232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 25 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 75125232 is about 8667.4812950476. The cubic root of 75125232 is about 421.9509238168.

Adding to 75125232 its reverse (23252157), we get a palindrome (98377389).

It can be divided in two parts, 75125 and 232, that added together give a palindrome (75357).

The spelling of 75125232 in words is "seventy-five million, one hundred twenty-five thousand, two hundred thirty-two".