1529472 has 64 divisors (see below), whose sum is σ = 4651200. Its totient is φ = 436224.

The previous prime is 1529471. The next prime is 1529501. The reversal of 1529472 is 2749251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 1 + 5⁷ + 2¹⁷ + 9⁶ + 4⁹ + 7⁴ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (1529471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2404 + ... + 2972.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

2^1529472 is an apocalyptic number.

1529472 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 1529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325600).

1529472 is an abundant number, since it is smaller than the sum of its proper divisors (3121728).

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

1529472 is an equidigital number, since it uses as much as digits as its factorization.

1529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 1529472 is about 1236.7182379184. The cubic root of 1529472 is about 115.2162785638.

The spelling of 1529472 in words is "one million, five hundred twenty-nine thousand, four hundred seventy-two".