7872642 has 24 divisors (see below), whose sum is σ = 17132544. Its totient is φ = 2612664.

The previous prime is 7872637. The next prime is 7872643. The reversal of 7872642 is 2462787.

7872642 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 642 = 666.

It is a d-powerful number, because it can be written as 7⁴ + 8³ + 7⁸ + 2¹⁹ + 6⁵ + 4¹⁰ + 2¹⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 7872597 and 7872606.

It is not an unprimeable number, because it can be changed into a prime (7872643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3903 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (713856).

Almost surely, 2^7872642 is an apocalyptic number.

7872642 is an abundant number, since it is smaller than the sum of its proper divisors (9259902).

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

7872642 is a wasteful number, since it uses less digits than its factorization.

7872642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1931 counting only the distinct ones).

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

The square root of 7872642 is about 2805.8228739534. The cubic root of 7872642 is about 198.9330010223.

The spelling of 7872642 in words is "seven million, eight hundred seventy-two thousand, six hundred forty-two".