181272768 has 224 divisors, whose sum is σ = 555955200. Its totient is φ = 51757056.

The previous prime is 181272761. The next prime is 181272769. The reversal of 181272768 is 867272181.

It is not an unprimeable number, because it can be changed into a prime (181272761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2294553 + ... + 2294631.

Almost surely, 2^181272768 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 181272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277977600).

181272768 is an abundant number, since it is smaller than the sum of its proper divisors (374682432).

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

181272768 is a wasteful number, since it uses less digits than its factorization.

181272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 181272768 is about 13463.7575735751. The cubic root of 181272768 is about 565.9492935300.

The spelling of 181272768 in words is "one hundred eighty-one million, two hundred seventy-two thousand, seven hundred sixty-eight".