4072992 has 192 divisors, whose sum is σ = 14515200. Its totient is φ = 967680.

The previous prime is 4072987. The next prime is 4073009. The reversal of 4072992 is 2992704.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140434 + ... + 140462.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 2^4072992 is an apocalyptic number.

4072992 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 4072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4072992 is an abundant number, since it is smaller than the sum of its proper divisors (10442208).

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

4072992 is a wasteful number, since it uses less digits than its factorization.

4072992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4072992 is about 2018.1655036196. The cubic root of 4072992 is about 159.6998539710.

The spelling of 4072992 in words is "four million, seventy-two thousand, nine hundred ninety-two".