1383766272 has 432 divisors, whose sum is σ = 4974278400. Its totient is φ = 368492544.

The previous prime is 1383766259. The next prime is 1383766283. The reversal of 1383766272 is 2726673831.

1383766272 is a `hidden beast` number, since 1 + 3 + 8 + 376 + 6 + 272 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13434573 + ... + 13434675.

Almost surely, 2^1383766272 is an apocalyptic number.

1383766272 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 1383766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487139200).

1383766272 is an abundant number, since it is smaller than the sum of its proper divisors (3590512128).

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

1383766272 is a wasteful number, since it uses less digits than its factorization.

1383766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1383766272 is about 37199.0090190586. The cubic root of 1383766272 is about 1114.3481941861.

The spelling of 1383766272 in words is "one billion, three hundred eighty-three million, seven hundred sixty-six thousand, two hundred seventy-two".