74043200 has 168 divisors, whose sum is σ = 227527104. Its totient is φ = 23040000.

The previous prime is 74043199. The next prime is 74043217. The reversal of 74043200 is 234047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122900 + ... + 123500.

It is an arithmetic number, because the mean of its divisors is an integer number (1354328).

Almost surely, 2^74043200 is an apocalyptic number.

74043200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113763552).

74043200 is an abundant number, since it is smaller than the sum of its proper divisors (153483904).

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

74043200 is a wasteful number, since it uses less digits than its factorization.

74043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 74043200 is about 8604.8358496836. The cubic root of 74043200 is about 419.9153268462.

Adding to 74043200 its reverse (234047), we get a palindrome (74277247).

It can be divided in two parts, 7 and 4043200, that multiplied together give a square (28302400 = 5320²).

The spelling of 74043200 in words is "seventy-four million, forty-three thousand, two hundred".