74257248 has 144 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 21745152.

The previous prime is 74257247. The next prime is 74257277. The reversal of 74257248 is 84275247.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74257247) 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 23 ways as a sum of consecutive naturals, for example, 373053 + ... + 373251.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^74257248 is an apocalyptic number.

74257248 is a gapful number since it is divisible by the number (78) 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 74257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

74257248 is an abundant number, since it is smaller than the sum of its proper divisors (147099552).

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

74257248 is a wasteful number, since it uses less digits than its factorization.

74257248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 74257248 is about 8617.2645311607. The cubic root of 74257248 is about 420.3195753695.

The spelling of 74257248 in words is "seventy-four million, two hundred fifty-seven thousand, two hundred forty-eight".