8875972 has 48 divisors (see below), whose sum is σ = 19474560. Its totient is φ = 3451392.

The previous prime is 8875969. The next prime is 8875973. The reversal of 8875972 is 2795788.

It is not an unprimeable number, because it can be changed into a prime (8875973) 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, 13483 + ... + 14125.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 2^8875972 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 8875972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737280).

8875972 is an abundant number, since it is smaller than the sum of its proper divisors (10598588).

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

8875972 is a wasteful number, since it uses less digits than its factorization.

8875972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its digits is 282240, while the sum is 46.

The square root of 8875972 is about 2979.2569543428. The cubic root of 8875972 is about 207.0484456456.

It can be divided in two parts, 88759 and 72, that added together give a triangular number (88831 = T₄₂₁).

The spelling of 8875972 in words is "eight million, eight hundred seventy-five thousand, nine hundred seventy-two".