381123072 has 240 divisors, whose sum is σ = 1228189248. Its totient is φ = 112803840.

The previous prime is 381123049. The next prime is 381123103. The reversal of 381123072 is 270321183.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700173 + ... + 3700275.

Almost surely, 2^381123072 is an apocalyptic number.

381123072 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 381123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614094624).

381123072 is an abundant number, since it is smaller than the sum of its proper divisors (847066176).

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

381123072 is a wasteful number, since it uses less digits than its factorization.

381123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 381123072 is about 19522.3736261757. The cubic root of 381123072 is about 725.0285027241.

The spelling of 381123072 in words is "three hundred eighty-one million, one hundred twenty-three thousand, seventy-two".