4073200 has 60 divisors (see below), whose sum is σ = 10378800. Its totient is φ = 1530880.

The previous prime is 4073197. The next prime is 4073203. The reversal of 4073200 is 23704.

It is an interprime number because it is at equal distance from previous prime (4073197) and next prime (4073203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073203) 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, 6501 + ... + 7099.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 2^4073200 is an apocalyptic number.

4073200 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 4073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189400).

4073200 is an abundant number, since it is smaller than the sum of its proper divisors (6305600).

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

4073200 is a wasteful number, since it uses less digits than its factorization.

4073200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 4073200 is about 2018.2170349098. The cubic root of 4073200 is about 159.7025724479.

Adding to 4073200 its reverse (23704), we get a palindrome (4096904).

The spelling of 4073200 in words is "four million, seventy-three thousand, two hundred".