78225168 has 120 divisors (see below), whose sum is σ = 238615680. Its totient is φ = 22014720.

The previous prime is 78225163. The next prime is 78225179. The reversal of 78225168 is 86152287.

It is a super-2 number, since 2×78225168² = 12238353817256448, which contains 22 as substring.

Its product of digits (53760) is a multiple of the sum of its prime divisors (512).

It is not an unprimeable number, because it can be changed into a prime (78225163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185598 + ... + 186018.

It is an arithmetic number, because the mean of its divisors is an integer number (1988464).

Almost surely, 2^78225168 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 78225168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119307840).

78225168 is an abundant number, since it is smaller than the sum of its proper divisors (160390512).

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

78225168 is a wasteful number, since it uses less digits than its factorization.

78225168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 78225168 is about 8844.4993074792. The cubic root of 78225168 is about 427.6766125021.

The spelling of 78225168 in words is "seventy-eight million, two hundred twenty-five thousand, one hundred sixty-eight".