74200 has 48 divisors (see below), whose sum is σ = 200880. Its totient is φ = 24960.

The previous prime is 74197. The next prime is 74201. The reversal of 74200 is 247.

74200 = 42² + 43² + ... + 66².

It is a nialpdrome in base 5 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1374 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁷⁴²⁰⁰ is an apocalyptic number.

74200 is a gapful number since it is divisible by the number (70) 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 74200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

74200 is an abundant number, since it is smaller than the sum of its proper divisors (126680).

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

74200 is a wasteful number, since it uses less digits than its factorization.

74200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 74200 is about 272.3967694375. The cubic root of 74200 is about 42.0211533654.

Adding to 74200 its reverse (247), we get a palindrome (74447).

The spelling of 74200 in words is "seventy-four thousand, two hundred", and thus it is an iban number.