87568272 has 120 divisors (see below), whose sum is σ = 272170080. Its totient is φ = 26058240.

The previous prime is 87568259. The next prime is 87568277. The reversal of 87568272 is 27286578.

87568272 is a `hidden beast` number, since 87 + 568 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×87568272² = 15336404522131968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87568277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92988 + ... + 93924.

It is an arithmetic number, because the mean of its divisors is an integer number (2268084).

Almost surely, 2^87568272 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 87568272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136085040).

87568272 is an abundant number, since it is smaller than the sum of its proper divisors (184601808).

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

87568272 is a wasteful number, since it uses less digits than its factorization.

87568272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1012 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 87568272 is about 9357.7920472727. The cubic root of 87568272 is about 444.0674355814.

The spelling of 87568272 in words is "eighty-seven million, five hundred sixty-eight thousand, two hundred seventy-two".