75257140 has 72 divisors (see below), whose sum is σ = 188426952. Its totient is φ = 25159680.

The previous prime is 75257137. The next prime is 75257167. The reversal of 75257140 is 4175257.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 69856164 = 2324^2 + 8358^2 .

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 23 ways as a sum of consecutive naturals, for example, 39244 + ... + 41116.

It is an arithmetic number, because the mean of its divisors is an integer number (2617041).

Almost surely, 2^75257140 is an apocalyptic number.

75257140 is a gapful number since it is divisible by the number (70) 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 75257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94213476).

75257140 is an abundant number, since it is smaller than the sum of its proper divisors (113169812).

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

75257140 is a wasteful number, since it uses less digits than its factorization.

75257140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 75257140 is about 8675.0873194453. The cubic root of 75257140 is about 422.1977390646.

The spelling of 75257140 in words is "seventy-five million, two hundred fifty-seven thousand, one hundred forty".