1306377072 has 800 divisors, whose sum is σ = 5444651520. Its totient is φ = 291133440.

The previous prime is 1306377071. The next prime is 1306377073. The reversal of 1306377072 is 2707736031.

1306377072 is a `hidden beast` number, since 13 + 0 + 637 + 7 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1306377071) and next prime (1306377073).

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

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306377071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24648598 + ... + 24648650.

Almost surely, 2^1306377072 is an apocalyptic number.

1306377072 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 1306377072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722325760).

1306377072 is an abundant number, since it is smaller than the sum of its proper divisors (4138274448).

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

1306377072 is a wasteful number, since it uses less digits than its factorization.

1306377072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 1306377072 is about 36143.8386450582. The cubic root of 1306377072 is about 1093.1745603602.

The spelling of 1306377072 in words is "one billion, three hundred six million, three hundred seventy-seven thousand, seventy-two".