74414200 has 96 divisors (see below), whose sum is σ = 206415360. Its totient is φ = 24393600.

The previous prime is 74414183. The next prime is 74414201. The reversal of 74414200 is 241447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74414201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31045 + ... + 33355.

It is an arithmetic number, because the mean of its divisors is an integer number (2150160).

Almost surely, 2^74414200 is an apocalyptic number.

74414200 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 74414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

74414200 is an abundant number, since it is smaller than the sum of its proper divisors (132001160).

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

74414200 is a wasteful number, since it uses less digits than its factorization.

74414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 74414200 is about 8626.3665584068. The cubic root of 74414200 is about 420.6154996761.

Adding to 74414200 its reverse (241447), we get a palindrome (74655647).

The spelling of 74414200 in words is "seventy-four million, four hundred fourteen thousand, two hundred".