381007072 has 24 divisors (see below), whose sum is σ = 756752976. Its totient is φ = 188815872.

The previous prime is 381007061. The next prime is 381007097. The reversal of 381007072 is 270700183.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 381007072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49068 + ... + 56299.

It is an arithmetic number, because the mean of its divisors is an integer number (31531374).

Almost surely, 2^381007072 is an apocalyptic number.

381007072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381007072 is a deficient number, since it is larger than the sum of its proper divisors (375745904).

381007072 is a wasteful number, since it uses less digits than its factorization.

381007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105490 (or 105482 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 381007072 is about 19519.4024498702. The cubic root of 381007072 is about 724.9549378255.

The spelling of 381007072 in words is "three hundred eighty-one million, seven thousand, seventy-two".