75552 has 24 divisors (see below), whose sum is σ = 198576. Its totient is φ = 25152.

The previous prime is 75541. The next prime is 75553. The reversal of 75552 is 25557.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (75553) by changing a digit.

75552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (8274).

2⁷⁵⁵⁵² is an apocalyptic number.

It is an amenable number.

75552 is an abundant number, since it is smaller than the sum of its proper divisors (123024).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99288).

75552 is a wasteful number, since it uses less digits than its factorization.

75552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its digits is 1750, while the sum is 24.

The square root of 75552 is about 274.8672406818. The cubic root of 75552 is about 42.2748415470.

It can be divided in two parts, 7555 and 2, that added together give a palindrome (7557).

The spelling of 75552 in words is "seventy-five thousand, five hundred fifty-two".