75031040 has 160 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 24920064.

The previous prime is 75031031. The next prime is 75031051. The reversal of 75031040 is 4013057.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949721 + ... + 949799.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^75031040 is an apocalyptic number.

75031040 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 75031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

75031040 is an abundant number, since it is smaller than the sum of its proper divisors (137098240).

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

75031040 is an equidigital number, since it uses as much as digits as its factorization.

75031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 75031040 is about 8662.0459476962. The cubic root of 75031040 is about 421.7745027377.

Adding to 75031040 its reverse (4013057), we get a palindrome (79044097).

The spelling of 75031040 in words is "seventy-five million, thirty-one thousand, forty".