1504272 has 120 divisors (see below), whose sum is σ = 5013568. Its totient is φ = 380160.

The previous prime is 1504271. The next prime is 1504289. The reversal of 1504272 is 2724051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40638 + ... + 40674.

2^1504272 is an apocalyptic number.

1504272 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 1504272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506784).

1504272 is an abundant number, since it is smaller than the sum of its proper divisors (3509296).

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

1504272 is a wasteful number, since it uses less digits than its factorization.

1504272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1504272 is about 1226.4876680994. The cubic root of 1504272 is about 114.5799927915.

The spelling of 1504272 in words is "one million, five hundred four thousand, two hundred seventy-two".