74164200 has 192 divisors, whose sum is σ = 265965120. Its totient is φ = 16896000.

The previous prime is 74164193. The next prime is 74164229. The reversal of 74164200 is 246147.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111870 + ... + 112530.

It is an arithmetic number, because the mean of its divisors is an integer number (1385235).

Almost surely, 2^74164200 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 74164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132982560).

74164200 is an abundant number, since it is smaller than the sum of its proper divisors (191800920).

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

74164200 is a wasteful number, since it uses less digits than its factorization.

74164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 699 counting only the distinct ones).

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

The square root of 74164200 is about 8611.8639097468. The cubic root of 74164200 is about 420.1439415927.

The spelling of 74164200 in words is "seventy-four million, one hundred sixty-four thousand, two hundred".