4812192 has 216 divisors, whose sum is σ = 17926272. Its totient is φ = 1209600.

The previous prime is 4812191. The next prime is 4812193. The reversal of 4812192 is 2912184.

It is an interprime number because it is at equal distance from previous prime (4812191) and next prime (4812193).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (4812191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155217 + ... + 155247.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

Almost surely, 2^4812192 is an apocalyptic number.

4812192 is a gapful number since it is divisible by the number (42) 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 4812192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

4812192 is an abundant number, since it is smaller than the sum of its proper divisors (13114080).

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

4812192 is a wasteful number, since it uses less digits than its factorization.

4812192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4812192 is about 2193.6708960097. The cubic root of 4812192 is about 168.8292335733.

The spelling of 4812192 in words is "four million, eight hundred twelve thousand, one hundred ninety-two".