74101632 has 128 divisors (see below), whose sum is σ = 219438720. Its totient is φ = 21964800.

The previous prime is 74101631. The next prime is 74101649. The reversal of 74101632 is 23610147.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74101631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 223707 + ... + 224037.

It is an arithmetic number, because the mean of its divisors is an integer number (1714365).

Almost surely, 2^74101632 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 74101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109719360).

74101632 is an abundant number, since it is smaller than the sum of its proper divisors (145337088).

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

74101632 is a wasteful number, since it uses less digits than its factorization.

74101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 74101632 is about 8608.2304801858. The cubic root of 74101632 is about 420.0257580574.

Adding to 74101632 its reverse (23610147), we get a palindrome (97711779).

The spelling of 74101632 in words is "seventy-four million, one hundred one thousand, six hundred thirty-two".