7837272 has 96 divisors (see below), whose sum is σ = 23727600. Its totient is φ = 2322432.

The previous prime is 7837267. The next prime is 7837301. The reversal of 7837272 is 2727387.

It is a super-3 number, since 3×7837272³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7 + 8⁷ + 3¹⁴ + 7⁴ + 2⁷ + 7⁷ + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23088 + ... + 23424.

Almost surely, 2^7837272 is an apocalyptic number.

7837272 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 7837272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11863800).

7837272 is an abundant number, since it is smaller than the sum of its proper divisors (15890328).

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

7837272 is a wasteful number, since it uses less digits than its factorization.

7837272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 7837272 is about 2799.5128147590. The cubic root of 7837272 is about 198.6346334150.

The spelling of 7837272 in words is "seven million, eight hundred thirty-seven thousand, two hundred seventy-two".