75532480 has 56 divisors (see below), whose sum is σ = 180941472. Its totient is φ = 30031872.

The previous prime is 75532439. The next prime is 75532489. The reversal of 75532480 is 8423557.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75532489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61149 + ... + 62371.

Almost surely, 2^75532480 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 75532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470736).

75532480 is an abundant number, since it is smaller than the sum of its proper divisors (105408992).

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

75532480 is a wasteful number, since it uses less digits than its factorization.

75532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 75532480 is about 8690.9424114995. The cubic root of 75532480 is about 422.7120045218.

The spelling of 75532480 in words is "seventy-five million, five hundred thirty-two thousand, four hundred eighty".