75018240 has 312 divisors, whose sum is σ = 291337488. Its totient is φ = 17694720.

The previous prime is 75018221. The next prime is 75018253. The reversal of 75018240 is 4281057.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027502 + ... + 2027538.

It is an arithmetic number, because the mean of its divisors is an integer number (933774).

Almost surely, 2^75018240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668744).

75018240 is an abundant number, since it is smaller than the sum of its proper divisors (216319248).

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

75018240 is a wasteful number, since it uses less digits than its factorization.

75018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 75018240 is about 8661.3070607155. The cubic root of 75018240 is about 421.7505170172.

Adding to 75018240 its reverse (4281057), we get a palindrome (79299297).

The spelling of 75018240 in words is "seventy-five million, eighteen thousand, two hundred forty".