1581272 has 64 divisors (see below), whose sum is σ = 3939840. Its totient is φ = 576000.

The previous prime is 1581271. The next prime is 1581287. The reversal of 1581272 is 2721851.

It is a super-2 number, since 2×1581272² = 5000842275968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1581271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10397 + ... + 10547.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2^1581272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1581272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969920).

1581272 is an abundant number, since it is smaller than the sum of its proper divisors (2358568).

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

1581272 is a wasteful number, since it uses less digits than its factorization.

1581272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its digits is 1120, while the sum is 26.

The square root of 1581272 is about 1257.4863816360. The cubic root of 1581272 is about 116.5025756643.

The spelling of 1581272 in words is "one million, five hundred eighty-one thousand, two hundred seventy-two".