181246272 has 56 divisors (see below), whose sum is σ = 483388416. Its totient is φ = 59931648.

The previous prime is 181246223. The next prime is 181246283. The reversal of 181246272 is 272642181.

It is a super-2 number, since 2×181246272² = 65700422227795968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20668 + ... + 28100.

It is an arithmetic number, because the mean of its divisors is an integer number (8631936).

Almost surely, 2^181246272 is an apocalyptic number.

181246272 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 181246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241694208).

181246272 is an abundant number, since it is smaller than the sum of its proper divisors (302142144).

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

181246272 is a wasteful number, since it uses less digits than its factorization.

181246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575 (or 7565 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 181246272 is about 13462.7735626802. The cubic root of 181246272 is about 565.9217179169.

It can be divided in two parts, 1812 and 46272, that added together give a palindrome (48084).

The spelling of 181246272 in words is "one hundred eighty-one million, two hundred forty-six thousand, two hundred seventy-two".