74844432 has 80 divisors (see below), whose sum is σ = 231374080. Its totient is φ = 23027328.

The previous prime is 74844409. The next prime is 74844433. The reversal of 74844432 is 23444847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74844433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048 + ... + 12279.

It is an arithmetic number, because the mean of its divisors is an integer number (2892176).

Almost surely, 2^74844432 is an apocalyptic number.

74844432 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 74844432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115687040).

74844432 is an abundant number, since it is smaller than the sum of its proper divisors (156529648).

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

74844432 is a wasteful number, since it uses less digits than its factorization.

74844432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13345 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 74844432 is about 8651.2676527778. The cubic root of 74844432 is about 421.4245505205.

It can be divided in two parts, 748444 and 32, that added together give a triangular number (748476 = T₁₂₂₃).

The spelling of 74844432 in words is "seventy-four million, eight hundred forty-four thousand, four hundred thirty-two".