75520144 has 40 divisors (see below), whose sum is σ = 169596288. Its totient is φ = 31906560.

The previous prime is 75520099. The next prime is 75520153. The reversal of 75520144 is 44102557.

It is a super-3 number, since 3×75520144³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3204 + ... + 12700.

Almost surely, 2^75520144 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 75520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84798144).

75520144 is an abundant number, since it is smaller than the sum of its proper divisors (94076144).

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

75520144 is a wasteful number, since it uses less digits than its factorization.

75520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9583 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 75520144 is about 8690.2326781278. The cubic root of 75520144 is about 422.6889907614.

The spelling of 75520144 in words is "seventy-five million, five hundred twenty thousand, one hundred forty-four".