75712500 has 108 divisors (see below), whose sum is σ = 239570604. Its totient is φ = 20160000.

The previous prime is 75712493. The next prime is 75712501. The reversal of 75712500 is 521757.

It can be written as a sum of positive squares in 6 ways, for example, as 67174416 + 8538084 = 8196^2 + 2922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75712501) 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 35 ways as a sum of consecutive naturals, for example, 112164 + ... + 112836.

Almost surely, 2^75712500 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 75712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119785302).

75712500 is an abundant number, since it is smaller than the sum of its proper divisors (163858104).

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

75712500 is a wasteful number, since it uses less digits than its factorization.

75712500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 683 counting only the distinct ones).

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

The square root of 75712500 is about 8701.2930073639. The cubic root of 75712500 is about 423.0475610053.

The spelling of 75712500 in words is "seventy-five million, seven hundred twelve thousand, five hundred".