7840272 has 80 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 2294400.

The previous prime is 7840271. The next prime is 7840289. The reversal of 7840272 is 2720487.

It is a super-2 number, since 2×7840272² = 122939730067968, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7840271) 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, 16129 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^7840272 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 7840272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

7840272 is an abundant number, since it is smaller than the sum of its proper divisors (15015408).

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

7840272 is a wasteful number, since it uses less digits than its factorization.

7840272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 7840272 is about 2800.0485710073. The cubic root of 7840272 is about 198.6599750510.

The spelling of 7840272 in words is "seven million, eight hundred forty thousand, two hundred seventy-two".