1251872 has 48 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 564480.

The previous prime is 1251871. The next prime is 1251881. The reversal of 1251872 is 2781521.

It is not an unprimeable number, because it can be changed into a prime (1251871) 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 7 ways as a sum of consecutive naturals, for example, 17597 + ... + 17667.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2^1251872 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 1251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

1251872 is an abundant number, since it is smaller than the sum of its proper divisors (1469728).

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

1251872 is a wasteful number, since it uses less digits than its factorization.

1251872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

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

The square root of 1251872 is about 1118.8708593935. The cubic root of 1251872 is about 107.7754823694.

The spelling of 1251872 in words is "one million, two hundred fifty-one thousand, eight hundred seventy-two".