181881672 has 32 divisors (see below), whose sum is σ = 519662400. Its totient is φ = 51966144.

The previous prime is 181881671. The next prime is 181881673. The reversal of 181881672 is 276188181.

181881672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181881671) and next prime (181881673).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (181881671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541147 + ... + 541482.

It is an arithmetic number, because the mean of its divisors is an integer number (16239450).

Almost surely, 2^181881672 is an apocalyptic number.

181881672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181881672 is an abundant number, since it is smaller than the sum of its proper divisors (337780728).

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

181881672 is a wasteful number, since it uses less digits than its factorization.

181881672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082645 (or 1082641 counting only the distinct ones).

The product of its digits is 43008, while the sum is 42.

The square root of 181881672 is about 13486.3513227262. The cubic root of 181881672 is about 566.5822690147.

The spelling of 181881672 in words is "one hundred eighty-one million, eight hundred eighty-one thousand, six hundred seventy-two".