381166272 has 84 divisors (see below), whose sum is σ = 1095405480. Its totient is φ = 126723072.

The previous prime is 381166241. The next prime is 381166273. The reversal of 381166272 is 272661183.

381166272 is a `hidden beast` number, since 381 + 1 + 6 + 6 + 272 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (381166273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327163 + ... + 328325.

Almost surely, 2^381166272 is an apocalyptic number.

381166272 is a gapful number since it is divisible by the number (32) 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 381166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547702740).

381166272 is an abundant number, since it is smaller than the sum of its proper divisors (714239208).

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

381166272 is a wasteful number, since it uses less digits than its factorization.

381166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1737 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 381166272 is about 19523.4800176608. The cubic root of 381166272 is about 725.0558954923.

The spelling of 381166272 in words is "three hundred eighty-one million, one hundred sixty-six thousand, two hundred seventy-two".