1330728672 has 288 divisors, whose sum is σ = 4478810112. Its totient is φ = 342752256.

The previous prime is 1330728667. The next prime is 1330728701. The reversal of 1330728672 is 2768270331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1330728672.

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, 2873913 + ... + 2874375.

It is an arithmetic number, because the mean of its divisors is an integer number (15551424).

Almost surely, 2^1330728672 is an apocalyptic number.

1330728672 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 1330728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239405056).

1330728672 is an abundant number, since it is smaller than the sum of its proper divisors (3148081440).

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

1330728672 is a wasteful number, since it uses less digits than its factorization.

1330728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1330728672 is about 36479.1539375573. The cubic root of 1330728672 is about 1099.9252489149.

It can be divided in two parts, 1330728 and 672, that multiplied together give a square (894249216 = 29904²).

The spelling of 1330728672 in words is "one billion, three hundred thirty million, seven hundred twenty-eight thousand, six hundred seventy-two".