7426272 has 96 divisors (see below), whose sum is σ = 22885632. Its totient is φ = 2064384.

The previous prime is 7426261. The next prime is 7426273. The reversal of 7426272 is 2726247.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7426273) 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, 28768 + ... + 29024.

It is an arithmetic number, because the mean of its divisors is an integer number (238392).

Almost surely, 2^7426272 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 7426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442816).

7426272 is an abundant number, since it is smaller than the sum of its proper divisors (15459360).

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

7426272 is a wasteful number, since it uses less digits than its factorization.

7426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 7426272 is about 2725.1187130105. The cubic root of 7426272 is about 195.0998568113.

The spelling of 7426272 in words is "seven million, four hundred twenty-six thousand, two hundred seventy-two".