7412272 has 60 divisors (see below), whose sum is σ = 17511280. Its totient is φ = 2976768.

The previous prime is 7412269. The next prime is 7412287. The reversal of 7412272 is 2722147.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32254 + ... + 32482.

Almost surely, 2^7412272 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 7412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755640).

7412272 is an abundant number, since it is smaller than the sum of its proper divisors (10099008).

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

7412272 is a wasteful number, since it uses less digits than its factorization.

7412272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its digits is 1568, while the sum is 25.

The square root of 7412272 is about 2722.5488058068. The cubic root of 7412272 is about 194.9771790081.

The spelling of 7412272 in words is "seven million, four hundred twelve thousand, two hundred seventy-two".