74400032 has 72 divisors (see below), whose sum is σ = 177883776. Its totient is φ = 30484608.

The previous prime is 74400017. The next prime is 74400037. The reversal of 74400032 is 23000447.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74399977 and 74400013.

It is not an unprimeable number, because it can be changed into a prime (74400037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35033 + ... + 37095.

It is an arithmetic number, because the mean of its divisors is an integer number (2470608).

Almost surely, 2^74400032 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 74400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88941888).

74400032 is an abundant number, since it is smaller than the sum of its proper divisors (103483744).

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

74400032 is a wasteful number, since it uses less digits than its factorization.

74400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2095 counting only the distinct ones).

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

The square root of 74400032 is about 8625.5453160945. The cubic root of 74400032 is about 420.5888037917.

Adding to 74400032 its reverse (23000447), we get a palindrome (97400479).

The spelling of 74400032 in words is "seventy-four million, four hundred thousand, thirty-two".