381272472 has 192 divisors, whose sum is σ = 1272360960. Its totient is φ = 100742400.

The previous prime is 381272467. The next prime is 381272473. The reversal of 381272472 is 274272183.

381272472 is a `hidden beast` number, since 381 + 272 + 4 + 7 + 2 = 666.

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

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381272473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358822 + ... + 359882.

It is an arithmetic number, because the mean of its divisors is an integer number (6626880).

Almost surely, 2^381272472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381272472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636180480).

381272472 is an abundant number, since it is smaller than the sum of its proper divisors (891088488).

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

381272472 is a wasteful number, since it uses less digits than its factorization.

381272472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 381272472 is about 19526.1996302404. The cubic root of 381272472 is about 725.1232272506.

The spelling of 381272472 in words is "three hundred eighty-one million, two hundred seventy-two thousand, four hundred seventy-two".