74146200 has 96 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 19638400.

The previous prime is 74146183. The next prime is 74146207. The reversal of 74146200 is 264147.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74146207) 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, 114277 + ... + 114923.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^74146200 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 74146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

74146200 is an abundant number, since it is smaller than the sum of its proper divisors (157267560).

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

74146200 is a wasteful number, since it uses less digits than its factorization.

74146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74146200 is about 8610.8187763998. The cubic root of 74146200 is about 420.1099485392.

The spelling of 74146200 in words is "seventy-four million, one hundred forty-six thousand, two hundred".