75120640 has 120 divisors (see below), whose sum is σ = 207611712. Its totient is φ = 25559040.

The previous prime is 75120607. The next prime is 75120641. The reversal of 75120640 is 4602157.

It is a super-2 number, since 2×75120640² = 11286221108019200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75120641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573375 + ... + 573505.

Almost surely, 2^75120640 is an apocalyptic number.

75120640 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 75120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103805856).

75120640 is an abundant number, since it is smaller than the sum of its proper divisors (132491072).

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

75120640 is an equidigital number, since it uses as much as digits as its factorization.

75120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 75120640 is about 8667.2163928219. The cubic root of 75120640 is about 421.9423264474.

Adding to 75120640 its reverse (4602157), we get a palindrome (79722797).

The spelling of 75120640 in words is "seventy-five million, one hundred twenty thousand, six hundred forty".