7825272 has 64 divisors (see below), whose sum is σ = 24084480. Its totient is φ = 2063232.

The previous prime is 7825261. The next prime is 7825327. The reversal of 7825272 is 2725287.

It is a super-2 number, since 2×7825272² = 122469763747968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 2^7825272 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 7825272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042240).

7825272 is an abundant number, since it is smaller than the sum of its proper divisors (16259208).

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

7825272 is a wasteful number, since it uses less digits than its factorization.

7825272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3608 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 7825272 is about 2797.3687636778. The cubic root of 7825272 is about 198.5332021521.

It can be divided in two parts, 78 and 25272, that multiplied together give a square (1971216 = 1404²).

The spelling of 7825272 in words is "seven million, eight hundred twenty-five thousand, two hundred seventy-two".