8072568 has 128 divisors (see below), whose sum is σ = 27072000. Its totient is φ = 2177280.

The previous prime is 8072551. The next prime is 8072573. The reversal of 8072568 is 8652708.

It is a super-2 number, since 2×8072568² = 130332708229248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28588 + ... + 28868.

It is an arithmetic number, because the mean of its divisors is an integer number (211500).

Almost surely, 2^8072568 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 8072568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536000).

8072568 is an abundant number, since it is smaller than the sum of its proper divisors (18999432).

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

8072568 is a wasteful number, since it uses less digits than its factorization.

8072568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8072568 is about 2841.2264957233. The cubic root of 8072568 is about 200.6029139806.

It can be divided in two parts, 807 and 2568, that added together give a cube (3375 = 15³).

The spelling of 8072568 in words is "eight million, seventy-two thousand, five hundred sixty-eight".