78141224 has 48 divisors (see below), whose sum is σ = 176911200. Its totient is φ = 31609440.

The previous prime is 78141221. The next prime is 78141227. The reversal of 78141224 is 42214187.

It is an interprime number because it is at equal distance from previous prime (78141221) and next prime (78141227).

It is a super-2 number, since 2×78141224² = 12212101776436352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78141221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288209 + ... + 288479.

It is an arithmetic number, because the mean of its divisors is an integer number (3685650).

Almost surely, 2^78141224 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 78141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88455600).

78141224 is an abundant number, since it is smaller than the sum of its proper divisors (98769976).

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

78141224 is a wasteful number, since it uses less digits than its factorization.

78141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 299 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 78141224 is about 8839.7524852226. The cubic root of 78141224 is about 427.5235767807.

The spelling of 78141224 in words is "seventy-eight million, one hundred forty-one thousand, two hundred twenty-four".