181395672 has 64 divisors (see below), whose sum is σ = 467786880. Its totient is φ = 58582272.

The previous prime is 181395649. The next prime is 181395673. The reversal of 181395672 is 276593181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181395673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140743 + ... + 142025.

It is an arithmetic number, because the mean of its divisors is an integer number (7309170).

Almost surely, 2^181395672 is an apocalyptic number.

181395672 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 181395672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233893440).

181395672 is an abundant number, since it is smaller than the sum of its proper divisors (286391208).

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

181395672 is a wasteful number, since it uses less digits than its factorization.

181395672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 181395672 is about 13468.3210534944. The cubic root of 181395672 is about 566.0771702809.

The spelling of 181395672 in words is "one hundred eighty-one million, three hundred ninety-five thousand, six hundred seventy-two".