74728800 has 216 divisors, whose sum is σ = 268717176. Its totient is φ = 19537920.

The previous prime is 74728777. The next prime is 74728811. The reversal of 74728800 is 882747.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698347 + ... + 698453.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 2^74728800 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 74728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358588).

74728800 is an abundant number, since it is smaller than the sum of its proper divisors (193988376).

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

74728800 is a wasteful number, since it uses less digits than its factorization.

74728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 74728800 is about 8644.5821182981. The cubic root of 74728800 is about 421.2074099827.

The spelling of 74728800 in words is "seventy-four million, seven hundred twenty-eight thousand, eight hundred".