916272 has 100 divisors (see below), whose sum is σ = 3060816. Its totient is φ = 259200.

The previous prime is 916261. The next prime is 916273. The reversal of 916272 is 272619.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (916273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9022 + ... + 9122.

2⁹¹⁶²⁷² 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 916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530408).

916272 is an abundant number, since it is smaller than the sum of its proper divisors (2144544).

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

916272 is a wasteful number, since it uses less digits than its factorization.

916272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 916272 is about 957.2209776222. The cubic root of 916272 is about 97.1273348077.

916272 divided by its product of digits (1512) gives a palindrome (606).

The spelling of 916272 in words is "nine hundred sixteen thousand, two hundred seventy-two".