7312272 has 60 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 2214080.

The previous prime is 7312271. The next prime is 7312297. The reversal of 7312272 is 2722137.

7312272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (7312271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5179 + ... + 6437.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 2^7312272 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 7312272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

7312272 is an abundant number, since it is smaller than the sum of its proper divisors (13467648).

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

7312272 is a wasteful number, since it uses less digits than its factorization.

7312272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1275 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 7312272 is about 2704.1212990545. The cubic root of 7312272 is about 194.0963845992.

It can be divided in two parts, 731 and 2272, that added together give a palindrome (3003).

The spelling of 7312272 in words is "seven million, three hundred twelve thousand, two hundred seventy-two".