1537272 has 64 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 465120.

The previous prime is 1537247. The next prime is 1537279. The reversal of 1537272 is 2727351.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1537279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

2^1537272 is an apocalyptic number.

1537272 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 1537272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

1537272 is an abundant number, since it is smaller than the sum of its proper divisors (3128328).

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

1537272 is a wasteful number, since it uses less digits than its factorization.

1537272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 1537272 is about 1239.8677348814. The cubic root of 1537272 is about 115.4118065148.

The spelling of 1537272 in words is "one million, five hundred thirty-seven thousand, two hundred seventy-two".