74102400 has 288 divisors, whose sum is σ = 276232320. Its totient is φ = 18892800.

The previous prime is 74102381. The next prime is 74102417. The reversal of 74102400 is 420147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892759 + ... + 892841.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 2^74102400 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 74102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

74102400 is an abundant number, since it is smaller than the sum of its proper divisors (202129920).

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

74102400 is a wasteful number, since it uses less digits than its factorization.

74102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 74102400 is about 8608.2750885413. The cubic root of 74102400 is about 420.0272091216.

Adding to 74102400 its reverse (420147), we get a palindrome (74522547).

The spelling of 74102400 in words is "seventy-four million, one hundred two thousand, four hundred".