75084240 has 320 divisors, whose sum is σ = 308551680. Its totient is φ = 14622720.

The previous prime is 75084221. The next prime is 75084241. The reversal of 75084240 is 4248057.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75084198 and 75084207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75084241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314041 + ... + 314279.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^75084240 is an apocalyptic number.

75084240 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 75084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

75084240 is an abundant number, since it is smaller than the sum of its proper divisors (233467440).

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

75084240 is a wasteful number, since it uses less digits than its factorization.

75084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 75084240 is about 8665.1162715800. The cubic root of 75084240 is about 421.8741641684.

The spelling of 75084240 in words is "seventy-five million, eighty-four thousand, two hundred forty".