181413072 has 120 divisors (see below), whose sum is σ = 529251840. Its totient is φ = 57957120.

The previous prime is 181413053. The next prime is 181413073. The reversal of 181413072 is 270314181.

181413072 is a `hidden beast` number, since 181 + 413 + 0 + 72 = 666.

181413072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181413073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420697 + ... + 421127.

It is an arithmetic number, because the mean of its divisors is an integer number (4410432).

Almost surely, 2^181413072 is an apocalyptic number.

181413072 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 181413072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

181413072 is an abundant number, since it is smaller than the sum of its proper divisors (347838768).

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

181413072 is a wasteful number, since it uses less digits than its factorization.

181413072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 181413072 is about 13468.9669982519. The cubic root of 181413072 is about 566.0952696246.

The spelling of 181413072 in words is "one hundred eighty-one million, four hundred thirteen thousand, seventy-two".