77248 has 28 divisors (see below), whose sum is σ = 164592. Its totient is φ = 35840.

The previous prime is 77243. The next prime is 77249. The reversal of 77248 is 84277.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77243) by changing a digit.

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, 1053 + ... + 1123.

2⁷⁷²⁴⁸ 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 77248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296).

77248 is an abundant number, since it is smaller than the sum of its proper divisors (87344).

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

77248 is a wasteful number, since it uses less digits than its factorization.

77248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 77248 is about 277.9352442566. The cubic root of 77248 is about 42.5888337974.

It can be divided in two parts, 772 and 48, that added together give a triangular number (820 = T₄₀).

The spelling of 77248 in words is "seventy-seven thousand, two hundred forty-eight".