74725200 has 480 divisors, whose sum is σ = 315515520. Its totient is φ = 16588800.

The previous prime is 74725193. The next prime is 74725207. The reversal of 74725200 is 252747.

74725200 is a `hidden beast` number, since 74 + 72 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74725193) and next prime (74725207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74725207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2019582 + ... + 2019618.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^74725200 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 74725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

74725200 is an abundant number, since it is smaller than the sum of its proper divisors (240790320).

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

74725200 is a wasteful number, since it uses less digits than its factorization.

74725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 74725200 is about 8644.3738928855. The cubic root of 74725200 is about 421.2006460977.

Adding to 74725200 its reverse (252747), we get a palindrome (74977947).

The spelling of 74725200 in words is "seventy-four million, seven hundred twenty-five thousand, two hundred".