7864272 has 60 divisors (see below), whose sum is σ = 23707684. Its totient is φ = 2419200.

The previous prime is 7864253. The next prime is 7864277. The reversal of 7864272 is 2724687.

7864272 is a `hidden beast` number, since 7 + 8 + 642 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 7096896 = 876^2 + 2664^2 .

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 + 6 + 4⁴ + 2 + 7⁸ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 3972.

Almost surely, 2^7864272 is an apocalyptic number.

7864272 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 7864272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853842).

7864272 is an abundant number, since it is smaller than the sum of its proper divisors (15843412).

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

7864272 is a wasteful number, since it uses less digits than its factorization.

7864272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4219 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7864272 is about 2804.3309362484. The cubic root of 7864272 is about 198.8624757927.

The spelling of 7864272 in words is "seven million, eight hundred sixty-four thousand, two hundred seventy-two".