7279272 has 192 divisors, whose sum is σ = 26732160. Its totient is φ = 1728000.

The previous prime is 7279267. The next prime is 7279273. The reversal of 7279272 is 2729727.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (7279273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72022 + ... + 72122.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^7279272 is an apocalyptic number.

7279272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7279272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7279272 is an abundant number, since it is smaller than the sum of its proper divisors (19452888).

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

7279272 is a wasteful number, since it uses less digits than its factorization.

7279272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 7279272 is about 2698.0126018979. The cubic root of 7279272 is about 193.8039611059.

7279272 divided by its sum of digits (36) gives a palindrome (202202).

It can be divided in two parts, 727 and 9272, that added together give a palindrome (9999).

The spelling of 7279272 in words is "seven million, two hundred seventy-nine thousand, two hundred seventy-two".