7872992 has 48 divisors (see below), whose sum is σ = 17055360. Its totient is φ = 3560832.

The previous prime is 7872947. The next prime is 7873001. The reversal of 7872992 is 2992787.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13703 + ... + 14265.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 2^7872992 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 7872992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527680).

7872992 is an abundant number, since it is smaller than the sum of its proper divisors (9182368).

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

7872992 is a wasteful number, since it uses less digits than its factorization.

7872992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The square root of 7872992 is about 2805.8852435551. The cubic root of 7872992 is about 198.9359490169.

Adding to 7872992 its product of digits (127008), we get a cube (8000000 = 200³).

The spelling of 7872992 in words is "seven million, eight hundred seventy-two thousand, nine hundred ninety-two".