72255168 has 168 divisors, whose sum is σ = 225381312. Its totient is φ = 22044672.

The previous prime is 72255163. The next prime is 72255187. The reversal of 72255168 is 86155227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72255163) 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, 460146 + ... + 460302.

Almost surely, 2^72255168 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 72255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112690656).

72255168 is an abundant number, since it is smaller than the sum of its proper divisors (153126144).

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

72255168 is a wasteful number, since it uses less digits than its factorization.

72255168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 72255168 is about 8500.3039945640. The cubic root of 72255168 is about 416.5076396505.

The spelling of 72255168 in words is "seventy-two million, two hundred fifty-five thousand, one hundred sixty-eight".