75162240 has 96 divisors (see below), whose sum is σ = 259564500. Its totient is φ = 20041728.

The previous prime is 75162239. The next prime is 75162251. The reversal of 75162240 is 4226157.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 97344 = 8664^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 765 + ... + 12284.

Almost surely, 2^75162240 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 75162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129782250).

75162240 is an abundant number, since it is smaller than the sum of its proper divisors (184402260).

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

75162240 is a wasteful number, since it uses less digits than its factorization.

75162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75162240 is about 8669.6159084472. The cubic root of 75162240 is about 422.0201992383.

Adding to 75162240 its reverse (4226157), we get a palindrome (79388397).

The spelling of 75162240 in words is "seventy-five million, one hundred sixty-two thousand, two hundred forty".