1530001872 has 210 divisors, whose sum is σ = 5172104418. Its totient is φ = 436980096.

The previous prime is 1530001867. The next prime is 1530001987. The reversal of 1530001872 is 2781000351.

It can be written as a sum of positive squares in only one way, i.e., 869306256 + 660695616 = 29484^2 + 25704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 570198 + ... + 572874.

Almost surely, 2^1530001872 is an apocalyptic number.

1530001872 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 1530001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586052209).

1530001872 is an abundant number, since it is smaller than the sum of its proper divisors (3642102546).

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

1530001872 is an equidigital number, since it uses as much as digits as its factorization.

1530001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1530001872 is about 39115.2383605162. The cubic root of 1530001872 is about 1152.2958224666.

The spelling of 1530001872 in words is "one billion, five hundred thirty million, one thousand, eight hundred seventy-two".