74123400 has 288 divisors, whose sum is σ = 269580960. Its totient is φ = 16773120.

The previous prime is 74123381. The next prime is 74123419. The reversal of 74123400 is 432147.

It is an interprime number because it is at equal distance from previous prime (74123381) and next prime (74123419).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1723779 + ... + 1723821.

It is an arithmetic number, because the mean of its divisors is an integer number (936045).

Almost surely, 2^74123400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134790480).

74123400 is an abundant number, since it is smaller than the sum of its proper divisors (195457560).

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

74123400 is a wasteful number, since it uses less digits than its factorization.

74123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74123400 is about 8609.4947586952. The cubic root of 74123400 is about 420.0668827727.

Adding to 74123400 its reverse (432147), we get a palindrome (74555547).

The spelling of 74123400 in words is "seventy-four million, one hundred twenty-three thousand, four hundred".