87206472 has 96 divisors (see below), whose sum is σ = 247104000. Its totient is φ = 27751680.

The previous prime is 87206443. The next prime is 87206477. The reversal of 87206472 is 27460278.

87206472 is a `hidden beast` number, since 8 + 7 + 2 + 0 + 647 + 2 = 666.

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 (87206477) 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 23 ways as a sum of consecutive naturals, for example, 198429 + ... + 198867.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 2^87206472 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 87206472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552000).

87206472 is an abundant number, since it is smaller than the sum of its proper divisors (159897528).

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

87206472 is a wasteful number, since it uses less digits than its factorization.

87206472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87206472 is about 9338.4405550392. The cubic root of 87206472 is about 443.4550167547.

It can be divided in two parts, 87206 and 472, that added together give a palindrome (87678).

The spelling of 87206472 in words is "eighty-seven million, two hundred six thousand, four hundred seventy-two".