74401152 has 128 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 20951040.

The previous prime is 74401133. The next prime is 74401157. The reversal of 74401152 is 25110447.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74401157) 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, 239077 + ... + 239387.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^74401152 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 74401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

74401152 is an abundant number, since it is smaller than the sum of its proper divisors (154731648).

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

74401152 is a wasteful number, since it uses less digits than its factorization.

74401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 74401152 is about 8625.6102392816. The cubic root of 74401152 is about 420.5909142617.

Adding to 74401152 its reverse (25110447), we get a palindrome (99511599).

The spelling of 74401152 in words is "seventy-four million, four hundred one thousand, one hundred fifty-two".