8515872 has 36 divisors (see below), whose sum is σ = 24217830. Its totient is φ = 2838528.

The previous prime is 8515867. The next prime is 8515877. The reversal of 8515872 is 2785158.

It is an interprime number because it is at equal distance from previous prime (8515867) and next prime (8515877).

It can be written as a sum of positive squares in only one way, i.e., 7160976 + 1354896 = 2676^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 8⁶ + 5³ + 1 + 5⁸ + 8⁷ + 7⁸ + 2¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (8515877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14497 + ... + 15072.

Almost surely, 2^8515872 is an apocalyptic number.

It is an amenable number.

8515872 is an abundant number, since it is smaller than the sum of its proper divisors (15701958).

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

8515872 is a wasteful number, since it uses less digits than its factorization.

8515872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29585 (or 29574 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 8515872 is about 2918.1967034455. The cubic root of 8515872 is about 204.2097036212.

The spelling of 8515872 in words is "eight million, five hundred fifteen thousand, eight hundred seventy-two".