1380627072 has 256 divisors, whose sum is σ = 4641408000. Its totient is φ = 399928320.

The previous prime is 1380627043. The next prime is 1380627089. The reversal of 1380627072 is 2707260831.

1380627072 is a `hidden beast` number, since 1 + 380 + 6 + 270 + 7 + 2 = 666.

It is a super-2 number, since 2×1380627072² = 3812262223878586368, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 873579 + ... + 875157.

It is an arithmetic number, because the mean of its divisors is an integer number (18130500).

Almost surely, 2^1380627072 is an apocalyptic number.

1380627072 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 1380627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320704000).

1380627072 is an abundant number, since it is smaller than the sum of its proper divisors (3260780928).

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

1380627072 is a wasteful number, since it uses less digits than its factorization.

1380627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1380627072 is about 37156.7903888374. The cubic root of 1380627072 is about 1113.5048893205.

The spelling of 1380627072 in words is "one billion, three hundred eighty million, six hundred twenty-seven thousand, seventy-two".