74752 has 22 divisors (see below), whose sum is σ = 151478. Its totient is φ = 36864.

The previous prime is 74747. The next prime is 74759. The reversal of 74752 is 25747.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 9216 = 256^2 + 96^2 .

It is a plaindrome in base 9.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (74759) by changing a digit.

74752 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 988 + ... + 1060.

2⁷⁴⁷⁵² 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 74752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75739).

74752 is an abundant number, since it is smaller than the sum of its proper divisors (76726).

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

74752 is an equidigital number, since it uses as much as digits as its factorization.

74752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 74752 is about 273.4081198502. The cubic root of 74752 is about 42.1250994254.

The spelling of 74752 in words is "seventy-four thousand, seven hundred fifty-two".