75945240 has 96 divisors (see below), whose sum is σ = 282091680. Its totient is φ = 17358336.

The previous prime is 75945227. The next prime is 75945251. The reversal of 75945240 is 4254957.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75945195 and 75945204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12549 + ... + 17588.

It is an arithmetic number, because the mean of its divisors is an integer number (2938455).

Almost surely, 2^75945240 is an apocalyptic number.

75945240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75945240 is an abundant number, since it is smaller than the sum of its proper divisors (206146440).

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

75945240 is a wasteful number, since it uses less digits than its factorization.

75945240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30161 (or 30154 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75945240 is about 8714.6566197413. The cubic root of 75945240 is about 423.4805999030.

The spelling of 75945240 in words is "seventy-five million, nine hundred forty-five thousand, two hundred forty".