87100272 has 100 divisors (see below), whose sum is σ = 288136816. Its totient is φ = 24883200.

The previous prime is 87100271. The next prime is 87100289. The reversal of 87100272 is 27200178.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87100271) 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 19 ways as a sum of consecutive naturals, for example, 4272 + ... + 13872.

Almost surely, 2^87100272 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 87100272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144068408).

87100272 is an abundant number, since it is smaller than the sum of its proper divisors (201036544).

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

87100272 is a wasteful number, since it uses less digits than its factorization.

87100272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9628 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 87100272 is about 9332.7526486027. The cubic root of 87100272 is about 443.2749305294.

The spelling of 87100272 in words is "eighty-seven million, one hundred thousand, two hundred seventy-two".