78144 has 56 divisors (see below), whose sum is σ = 231648. Its totient is φ = 23040.

The previous prime is 78139. The next prime is 78157. The reversal of 78144 is 44187.

It is a super-2 number, since 2×78144² = 12212969472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78144.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 2130.

2⁷⁸¹⁴⁴ is an apocalyptic number.

78144 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824).

78144 is an abundant number, since it is smaller than the sum of its proper divisors (153504).

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

78144 is a wasteful number, since it uses less digits than its factorization.

78144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 78144 is about 279.5424833545. The cubic root of 78144 is about 42.7528639373.

It can be divided in two parts, 78 and 144, that added together give a palindrome (222).

The spelling of 78144 in words is "seventy-eight thousand, one hundred forty-four".