181842672 has 120 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 54454400.

The previous prime is 181842649. The next prime is 181842697. The reversal of 181842672 is 276248181.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 181842672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760729 + ... + 760967.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2^181842672 is an apocalyptic number.

181842672 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 181842672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

181842672 is an abundant number, since it is smaller than the sum of its proper divisors (340623888).

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

181842672 is a wasteful number, since it uses less digits than its factorization.

181842672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 181842672 is about 13484.9053389336. The cubic root of 181842672 is about 566.5417696288.

The spelling of 181842672 in words is "one hundred eighty-one million, eight hundred forty-two thousand, six hundred seventy-two".