1530672 has 80 divisors (see below), whose sum is σ = 4666368. Its totient is φ = 426240.

The previous prime is 1530667. The next prime is 1530679. The reversal of 1530672 is 2760351.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1530679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6753 + ... + 6975.

2^1530672 is an apocalyptic number.

1530672 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 1530672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184).

1530672 is an abundant number, since it is smaller than the sum of its proper divisors (3135696).

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

1530672 is a wasteful number, since it uses less digits than its factorization.

1530672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1530672 is about 1237.2032977648. The cubic root of 1530672 is about 115.2464029883.

The spelling of 1530672 in words is "one million, five hundred thirty thousand, six hundred seventy-two".