87430272 has 64 divisors (see below), whose sum is σ = 233506560. Its totient is φ = 28984320.

The previous prime is 87430237. The next prime is 87430319. The reversal of 87430272 is 27203478.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85122 + ... + 86142.

It is an arithmetic number, because the mean of its divisors is an integer number (3648540).

Almost surely, 2^87430272 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 87430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116753280).

87430272 is an abundant number, since it is smaller than the sum of its proper divisors (146076288).

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

87430272 is a wasteful number, since it uses less digits than its factorization.

87430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 87430272 is about 9350.4156057365. The cubic root of 87430272 is about 443.8340423510.

The spelling of 87430272 in words is "eighty-seven million, four hundred thirty thousand, two hundred seventy-two".