181098072 has 64 divisors (see below), whose sum is σ = 504873600. Its totient is φ = 60147360.

The previous prime is 181098061. The next prime is 181098079. The reversal of 181098072 is 270890181.

181098072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181098079) 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, 64947 + ... + 67677.

It is an arithmetic number, because the mean of its divisors is an integer number (7888650).

Almost surely, 2^181098072 is an apocalyptic number.

181098072 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 181098072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252436800).

181098072 is an abundant number, since it is smaller than the sum of its proper divisors (323775528).

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

181098072 is a wasteful number, since it uses less digits than its factorization.

181098072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 181098072 is about 13457.2683706613. The cubic root of 181098072 is about 565.7674297444.

The spelling of 181098072 in words is "one hundred eighty-one million, ninety-eight thousand, seventy-two".