4072320 has 192 divisors, whose sum is σ = 16230240. Its totient is φ = 921600.

The previous prime is 4072309. The next prime is 4072337. The reversal of 4072320 is 232704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4072293 and 4072302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40270 + ... + 40370.

Almost surely, 2^4072320 is an apocalyptic number.

4072320 is a gapful number since it is divisible by the number (40) 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 4072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115120).

4072320 is an abundant number, since it is smaller than the sum of its proper divisors (12157920).

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

4072320 is a wasteful number, since it uses less digits than its factorization.

4072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4072320 is about 2017.9990089195. Note that the first 3 decimals coincide. The cubic root of 4072320 is about 159.6910705668.

The spelling of 4072320 in words is "four million, seventy-two thousand, three hundred twenty".