8410272 has 96 divisors (see below), whose sum is σ = 24893568. Its totient is φ = 2466816.

The previous prime is 8410271. The next prime is 8410279. The reversal of 8410272 is 2720148.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8410272² = 141465350227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8410271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28558 + ... + 28850.

It is an arithmetic number, because the mean of its divisors is an integer number (259308).

Almost surely, 2^8410272 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 8410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446784).

8410272 is an abundant number, since it is smaller than the sum of its proper divisors (16483296).

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

8410272 is a wasteful number, since it uses less digits than its factorization.

8410272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 8410272 is about 2900.0468961725. The cubic root of 8410272 is about 203.3620981134.

The spelling of 8410272 in words is "eight million, four hundred ten thousand, two hundred seventy-two".