78232 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 30240.

The previous prime is 78229. The next prime is 78233. The reversal of 78232 is 23287.

It is a happy number.

It is a super-2 number, since 2×78232² = 12240491648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78233) 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 7 ways as a sum of consecutive naturals, for example, 553 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁷⁸²³² 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 78232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

78232 is an abundant number, since it is smaller than the sum of its proper divisors (106088).

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

78232 is a wasteful number, since it uses less digits than its factorization.

78232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 78232 is about 279.6998391133. The cubic root of 78232 is about 42.7689062892.

Subtracting from 78232 its sum of digits (22), we obtain a triangular number (78210 = T₃₉₅).

Subtracting from 78232 its reverse (23287), we obtain a palindrome (54945).

The spelling of 78232 in words is "seventy-eight thousand, two hundred thirty-two".