75315240 has 576 divisors, whose sum is σ = 348566400. Its totient is φ = 13685760.

The previous prime is 75315217. The next prime is 75315241. The reversal of 75315240 is 4251357.

75315240 = T₁₀₃ + T₁₀₄ + ... + T₇₆₇.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75315241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963951 + ... + 3963969.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^75315240 is an apocalyptic number.

75315240 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 75315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

75315240 is an abundant number, since it is smaller than the sum of its proper divisors (273251160).

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

75315240 is a wasteful number, since it uses less digits than its factorization.

75315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75315240 is about 8678.4353428484. The cubic root of 75315240 is about 422.3063594510.

Adding to 75315240 its reverse (4251357), we get a palindrome (79566597).

The spelling of 75315240 in words is "seventy-five million, three hundred fifteen thousand, two hundred forty".