74161200 has 120 divisors (see below), whose sum is σ = 247984128. Its totient is φ = 18909440.

The previous prime is 74161189. The next prime is 74161201. The reversal of 74161200 is 216147.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (74161201) 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, 26257 + ... + 28943.

Almost surely, 2^74161200 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 74161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

74161200 is an abundant number, since it is smaller than the sum of its proper divisors (173822928).

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

74161200 is a wasteful number, since it uses less digits than its factorization.

74161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 74161200 is about 8611.6897296640. The cubic root of 74161200 is about 420.1382764658.

Adding to 74161200 its reverse (216147), we get a palindrome (74377347).

The spelling of 74161200 in words is "seventy-four million, one hundred sixty-one thousand, two hundred".