7872192 has 84 divisors (see below), whose sum is σ = 22981920. Its totient is φ = 2575872.

The previous prime is 7872191. The next prime is 7872217. The reversal of 7872192 is 2912787.

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

It is not an unprimeable number, because it can be changed into a prime (7872191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45418 + ... + 45590.

Almost surely, 2^7872192 is an apocalyptic number.

7872192 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 7872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490960).

7872192 is an abundant number, since it is smaller than the sum of its proper divisors (15109728).

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

7872192 is a wasteful number, since it uses less digits than its factorization.

7872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 7872192 is about 2805.7426824283. The cubic root of 7872192 is about 198.9292106151.

The spelling of 7872192 in words is "seven million, eight hundred seventy-two thousand, one hundred ninety-two".