181272000 has 448 divisors, whose sum is σ = 745565184. Its totient is φ = 37785600.

The previous prime is 181271983. The next prime is 181272041. The reversal of 181272000 is 272181.

181272000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2183959 + ... + 2184041.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^181272000 is an apocalyptic number.

181272000 is a gapful number since it is divisible by the number (10) 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 181272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372782592).

181272000 is an abundant number, since it is smaller than the sum of its proper divisors (564293184).

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

181272000 is a wasteful number, since it uses less digits than its factorization.

181272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 181272000 is about 13463.7290525322. The cubic root of 181272000 is about 565.9484942747.

The spelling of 181272000 in words is "one hundred eighty-one million, two hundred seventy-two thousand".