75090240 has 140 divisors (see below), whose sum is σ = 267201396. Its totient is φ = 20017152.

The previous prime is 75090227. The next prime is 75090263. The reversal of 75090240 is 4209057.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 58247424 = 4104^2 + 7632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24472 + ... + 27368.

Almost surely, 2^75090240 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 75090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133600698).

75090240 is an abundant number, since it is smaller than the sum of its proper divisors (192111156).

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

75090240 is a wasteful number, since it uses less digits than its factorization.

75090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 75090240 is about 8665.4624804450. The cubic root of 75090240 is about 421.8854012250.

Adding to 75090240 its reverse (4209057), we get a palindrome (79299297).

The spelling of 75090240 in words is "seventy-five million, ninety thousand, two hundred forty".