77238 has 24 divisors (see below), whose sum is σ = 191568. Its totient is φ = 22032.

The previous prime is 77237. The next prime is 77239. The reversal of 77238 is 83277.

It is an interprime number because it is at equal distance from previous prime (77237) and next prime (77239).

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (7982).

2⁷⁷²³⁸ is an apocalyptic number.

77238 is an abundant number, since it is smaller than the sum of its proper divisors (114330).

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 (95784).

77238 is a wasteful number, since it uses less digits than its factorization.

77238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 77238 is about 277.9172538724. The cubic root of 77238 is about 42.5869959647.

The spelling of 77238 in words is "seventy-seven thousand, two hundred thirty-eight".