75140640 has 72 divisors (see below), whose sum is σ = 256422348. Its totient is φ = 20037120.

The previous prime is 75140633. The next prime is 75140657. The reversal of 75140640 is 4604157.

75140640 is a `hidden beast` number, since 7 + 5 + 14 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68359824 + 6780816 = 8268^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×75140640² = 11292231559219200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24651 + ... + 27530.

Almost surely, 2^75140640 is an apocalyptic number.

It is an amenable number.

75140640 is an abundant number, since it is smaller than the sum of its proper divisors (181281708).

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

75140640 is a wasteful number, since it uses less digits than its factorization.

75140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52202 (or 52191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75140640 is about 8668.3700890075. The cubic root of 75140640 is about 421.9797688766.

Adding to 75140640 its reverse (4604157), we get a palindrome (79744797).

It can be divided in two parts, 75 and 140640, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 75140640 in words is "seventy-five million, one hundred forty thousand, six hundred forty".