75132500 has 60 divisors (see below), whose sum is σ = 168536676. Its totient is φ = 29280000.

The previous prime is 75132443. The next prime is 75132509. The reversal of 75132500 is 523157.

It can be written as a sum of positive squares in 10 ways, for example, as 55383364 + 19749136 = 7442^2 + 4444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75132509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102134 + ... + 102866.

Almost surely, 2^75132500 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 75132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84268338).

75132500 is an abundant number, since it is smaller than the sum of its proper divisors (93404176).

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

75132500 is a wasteful number, since it uses less digits than its factorization.

75132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 75132500 is about 8667.9005531905. The cubic root of 75132500 is about 421.9645306097.

Adding to 75132500 its reverse (523157), we get a palindrome (75655657).

The spelling of 75132500 in words is "seventy-five million, one hundred thirty-two thousand, five hundred".