8127972 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2405376.

The previous prime is 8127961. The next prime is 8127979. The reversal of 8127972 is 2797218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8127979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34768 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^8127972 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 8127972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8127972 is an abundant number, since it is smaller than the sum of its proper divisors (15459228).

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

8127972 is a wasteful number, since it uses less digits than its factorization.

8127972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 8127972 is about 2850.9598383702. The cubic root of 8127972 is about 201.0607969351.

The spelling of 8127972 in words is "eight million, one hundred twenty-seven thousand, nine hundred seventy-two".