74089728 has 126 divisors (see below), whose sum is σ = 222292154. Its totient is φ = 24634368.

The previous prime is 74089727. The next prime is 74089753. The reversal of 74089728 is 82798047.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 6718464 = 8208^2 + 2592^2 .

It is a super-2 number, since 2×74089728² = 10978575590227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74089727) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186426 + ... + 186822.

Almost surely, 2^74089728 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 74089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111146077).

74089728 is an abundant number, since it is smaller than the sum of its proper divisors (148202426).

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

74089728 is an frugal number, since it uses more digits than its factorization.

74089728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 74089728 is about 8607.5390211140. The cubic root of 74089728 is about 420.0032652807.

The spelling of 74089728 in words is "seventy-four million, eighty-nine thousand, seven hundred twenty-eight".