181801872 has 240 divisors, whose sum is σ = 614210688. Its totient is φ = 49121280.

The previous prime is 181801871. The next prime is 181801883. The reversal of 181801872 is 278108181.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (181801871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2190343 + ... + 2190425.

Almost surely, 2^181801872 is an apocalyptic number.

181801872 is a gapful number since it is divisible by the number (12) 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 181801872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

181801872 is an abundant number, since it is smaller than the sum of its proper divisors (432408816).

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

181801872 is a wasteful number, since it uses less digits than its factorization.

181801872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 181801872 is about 13483.3924514567. The cubic root of 181801872 is about 566.4993948424.

The spelling of 181801872 in words is "one hundred eighty-one million, eight hundred one thousand, eight hundred seventy-two".