75488 has 24 divisors (see below), whose sum is σ = 170352. Its totient is φ = 32256.

The previous prime is 75479. The next prime is 75503. The reversal of 75488 is 88457.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

75488 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 56 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2⁷⁵⁴⁸⁸ 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 75488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176).

75488 is an abundant number, since it is smaller than the sum of its proper divisors (94864).

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

75488 is a wasteful number, since it uses less digits than its factorization.

75488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 75488 is about 274.7507961772. The cubic root of 75488 is about 42.2629011872.

Adding to 75488 its product of digits (8960), we get a palindrome (84448).

It can be divided in two parts, 7 and 5488, that multiplied together give a 4-th power (38416 = 14⁴).

The spelling of 75488 in words is "seventy-five thousand, four hundred eighty-eight".