7944192 has 72 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 2641920.

The previous prime is 7944191. The next prime is 7944193. The reversal of 7944192 is 2914497.

It is an interprime number because it is at equal distance from previous prime (7944191) and next prime (7944193).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7944192² = 126220373065728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18217 + ... + 18647.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 2^7944192 is an apocalyptic number.

7944192 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 7944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498760).

7944192 is an abundant number, since it is smaller than the sum of its proper divisors (15053328).

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

7944192 is a wasteful number, since it uses less digits than its factorization.

7944192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 436 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7944192 is about 2818.5443051334. The cubic root of 7944192 is about 199.5338476876.

The spelling of 7944192 in words is "seven million, nine hundred forty-four thousand, one hundred ninety-two".