74647872 has 112 divisors (see below), whose sum is σ = 236402880. Its totient is φ = 22961664.

The previous prime is 74647843. The next prime is 74647873. The reversal of 74647872 is 27874647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74647873) 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, 20803 + ... + 24125.

It is an arithmetic number, because the mean of its divisors is an integer number (2110740).

Almost surely, 2^74647872 is an apocalyptic number.

74647872 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 74647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118201440).

74647872 is an abundant number, since it is smaller than the sum of its proper divisors (161755008).

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

74647872 is a wasteful number, since it uses less digits than its factorization.

74647872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3341 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 74647872 is about 8639.8999994213. The cubic root of 74647872 is about 421.0553053690.

The spelling of 74647872 in words is "seventy-four million, six hundred forty-seven thousand, eight hundred seventy-two".