8488272 has 80 divisors (see below), whose sum is σ = 24109568. Its totient is φ = 2557440.

The previous prime is 8488229. The next prime is 8488289. The reversal of 8488272 is 2728848.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8488272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37953 + ... + 38175.

Almost surely, 2^8488272 is an apocalyptic number.

8488272 is the 2379-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8488272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054784).

8488272 is an abundant number, since it is smaller than the sum of its proper divisors (15621296).

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

8488272 is a wasteful number, since it uses less digits than its factorization.

8488272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 8488272 is about 2913.4639177446. The cubic root of 8488272 is about 203.9888498327.

The spelling of 8488272 in words is "eight million, four hundred eighty-eight thousand, two hundred seventy-two".