74252688 has 80 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 23713920.

The previous prime is 74252687. The next prime is 74252693. The reversal of 74252688 is 88625247.

It is a happy number.

It is a Cunningham number, because it is equal to 8617²-1.

It is not an unprimeable number, because it can be changed into a prime (74252687) 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, 206653 + ... + 207011.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^74252688 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 74252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

74252688 is an abundant number, since it is smaller than the sum of its proper divisors (125734512).

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

74252688 is a wasteful number, since it uses less digits than its factorization.

74252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 74252688 is about 8616.9999419752. Note that the first 4 decimals coincide. The cubic root of 74252688 is about 420.3109715113.

The spelling of 74252688 in words is "seventy-four million, two hundred fifty-two thousand, six hundred eighty-eight".