7926272 has 40 divisors (see below), whose sum is σ = 16093836. Its totient is φ = 3899392.

The previous prime is 7926271. The next prime is 7926277. The reversal of 7926272 is 2726297.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 614656 = 2704^2 + 784^2 .

Its product of digits (21168) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (7926271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57788 + ... + 57924.

Almost surely, 2^7926272 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 7926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046918).

7926272 is an abundant number, since it is smaller than the sum of its proper divisors (8167564).

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

7926272 is a wasteful number, since it uses less digits than its factorization.

7926272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 7926272 is about 2815.3635644442. The cubic root of 7926272 is about 199.3837028397.

The spelling of 7926272 in words is "seven million, nine hundred twenty-six thousand, two hundred seventy-two".