181179972 has 72 divisors (see below), whose sum is σ = 495185600. Its totient is φ = 55660608.

The previous prime is 181179923. The next prime is 181179979. The reversal of 181179972 is 279971181.

It is a happy number.

181179972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (181179979) 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, 21729 + ... + 28887.

Almost surely, 2^181179972 is an apocalyptic number.

181179972 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 181179972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247592800).

181179972 is an abundant number, since it is smaller than the sum of its proper divisors (314005628).

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

181179972 is a wasteful number, since it uses less digits than its factorization.

181179972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7220 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The square root of 181179972 is about 13460.3109919496. The cubic root of 181179972 is about 565.8527046614.

The spelling of 181179972 in words is "one hundred eighty-one million, one hundred seventy-nine thousand, nine hundred seventy-two".