74041632 has 144 divisors (see below), whose sum is σ = 253431360. Its totient is φ = 20030976.

The previous prime is 74041631. The next prime is 74041661. The reversal of 74041632 is 23614047.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 74041596 and 74041605.

It is not an unprimeable number, because it can be changed into a prime (74041631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37338 + ... + 39270.

It is an arithmetic number, because the mean of its divisors is an integer number (1759940).

Almost surely, 2^74041632 is an apocalyptic number.

74041632 is a gapful number since it is divisible by the number (72) 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 74041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126715680).

74041632 is an abundant number, since it is smaller than the sum of its proper divisors (179389728).

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

74041632 is a wasteful number, since it uses less digits than its factorization.

74041632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 74041632 is about 8604.7447376433. The cubic root of 74041632 is about 419.9123626672.

Adding to 74041632 its reverse (23614047), we get a palindrome (97655679).

The spelling of 74041632 in words is "seventy-four million, forty-one thousand, six hundred thirty-two".