75125700 has 108 divisors (see below), whose sum is σ = 253630468. Its totient is φ = 18489600.

The previous prime is 75125647. The next prime is 75125717. The reversal of 75125700 is 752157.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 60746436 = 3792^2 + 7794^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 8490 + ... + 14910.

Almost surely, 2^75125700 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 75125700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126815234).

75125700 is an abundant number, since it is smaller than the sum of its proper divisors (178504768).

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

75125700 is a wasteful number, since it uses less digits than its factorization.

75125700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 75125700 is about 8667.5082924679. The cubic root of 75125700 is about 421.9518000099.

Adding to 75125700 its reverse (752157), we get a palindrome (75877857).

The spelling of 75125700 in words is "seventy-five million, one hundred twenty-five thousand, seven hundred".