76048 has 30 divisors (see below), whose sum is σ = 173166. Its totient is φ = 32256.

The previous prime is 76039. The next prime is 76079. The reversal of 76048 is 84067.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 12544 = 252^2 + 112^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

76048 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 736 + ... + 832.

2⁷⁶⁰⁴⁸ 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 76048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86583).

76048 is an abundant number, since it is smaller than the sum of its proper divisors (97118).

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

76048 is a wasteful number, since it uses less digits than its factorization.

76048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76048 is about 275.7680184503. The cubic root of 76048 is about 42.3671514892.

It can be divided in two parts, 760 and 48, that added together give a palindrome (808).

The spelling of 76048 in words is "seventy-six thousand, forty-eight".