78224 has 10 divisors (see below), whose sum is σ = 151590. Its totient is φ = 39104.

The previous prime is 78203. The next prime is 78229. The reversal of 78224 is 42287.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 6400 = 268^2 + 80^2 .

It is a super-2 number, since 2×78224² = 12237988352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2429 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (15159).

2⁷⁸²²⁴ is an apocalyptic number.

It is an amenable number.

78224 is a deficient number, since it is larger than the sum of its proper divisors (73366).

78224 is a wasteful number, since it uses less digits than its factorization.

78224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4891 counting only the distinct ones).

The product of its digits is 896, while the sum is 23.

The square root of 78224 is about 279.6855377026. The cubic root of 78224 is about 42.7674483909.

Subtracting from 78224 its reverse (42287), we obtain a cube (35937 = 33³).

The spelling of 78224 in words is "seventy-eight thousand, two hundred twenty-four".