75527952 has 120 divisors (see below), whose sum is σ = 214075584. Its totient is φ = 22885632.

The previous prime is 75527897. The next prime is 75527987. The reversal of 75527952 is 25972557.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756443 + ... + 1756485.

Almost surely, 2^75527952 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 75527952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107037792).

75527952 is an abundant number, since it is smaller than the sum of its proper divisors (138547632).

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

75527952 is a wasteful number, since it uses less digits than its factorization.

75527952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 108 counting only the distinct ones).

The product of its digits is 220500, while the sum is 42.

The square root of 75527952 is about 8690.6819065019. The cubic root of 75527952 is about 422.7035574793.

The spelling of 75527952 in words is "seventy-five million, five hundred twenty-seven thousand, nine hundred fifty-two".