7342272 has 112 divisors (see below), whose sum is σ = 24709120. Its totient is φ = 2094336.

The previous prime is 7342271. The next prime is 7342297. The reversal of 7342272 is 2722437.

It is a tau number, because it is divible by the number of its divisors (112).

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7342271) 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, 11793 + ... + 12399.

Almost surely, 2^7342272 is an apocalyptic number.

7342272 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 7342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354560).

7342272 is an abundant number, since it is smaller than the sum of its proper divisors (17366848).

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

7342272 is a wasteful number, since it uses less digits than its factorization.

7342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 7342272 is about 2709.6627096375. The cubic root of 7342272 is about 194.3614616488.

The spelling of 7342272 in words is "seven million, three hundred forty-two thousand, two hundred seventy-two".