874272 has 48 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 249600.

The previous prime is 874271. The next prime is 874277. The reversal of 874272 is 272478.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 8⁵ + 7⁵ + 2 + 4⁵ + 7⁷ + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (874271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁸⁷⁴²⁷² 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 874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

874272 is an abundant number, since it is smaller than the sum of its proper divisors (1750560).

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

874272 is a wasteful number, since it uses less digits than its factorization.

874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 874272 is about 935.0251333520. The cubic root of 874272 is about 95.6200257996.

The spelling of 874272 in words is "eight hundred seventy-four thousand, two hundred seventy-two".