74025600 has 192 divisors, whose sum is σ = 266366880. Its totient is φ = 17920000.

The previous prime is 74025593. The next prime is 74025617. The reversal of 74025600 is 652047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 105250 + ... + 105950.

Almost surely, 2^74025600 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 74025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

74025600 is an abundant number, since it is smaller than the sum of its proper divisors (192341280).

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

74025600 is a wasteful number, since it uses less digits than its factorization.

74025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 74025600 is about 8603.8131081515. The cubic root of 74025600 is about 419.8820530483.

Adding to 74025600 its reverse (652047), we get a palindrome (74677647).

The spelling of 74025600 in words is "seventy-four million, twenty-five thousand, six hundred".