75521152 has 48 divisors (see below), whose sum is σ = 175030470. Its totient is φ = 32363520.

The previous prime is 75521141. The next prime is 75521153. The reversal of 75521152 is 25112557.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 14930496 = 7784^2 + 3864^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 75521152.

It is not an unprimeable number, because it can be changed into a prime (75521153) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 252 + ... + 12292.

Almost surely, 2^75521152 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 75521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87515235).

75521152 is an abundant number, since it is smaller than the sum of its proper divisors (99509318).

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

75521152 is a wasteful number, since it uses less digits than its factorization.

75521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069 (or 12050 counting only the distinct ones).

The product of its digits is 3500, while the sum is 28.

The square root of 75521152 is about 8690.2906740799. The cubic root of 75521152 is about 422.6908713572.

The spelling of 75521152 in words is "seventy-five million, five hundred twenty-one thousand, one hundred fifty-two".