74249280 has 336 divisors, whose sum is σ = 304312320. Its totient is φ = 16257024.

The previous prime is 74249191. The next prime is 74249281. The reversal of 74249280 is 8294247.

It is a tau number, because it is divible by the number of its divisors (336).

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 (74249281) 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 47 ways as a sum of consecutive naturals, for example, 584577 + ... + 584703.

Almost surely, 2^74249280 is an apocalyptic number.

74249280 is a gapful number since it is divisible by the number (70) 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 74249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

74249280 is an abundant number, since it is smaller than the sum of its proper divisors (230063040).

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

74249280 is a wasteful number, since it uses less digits than its factorization.

74249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74249280 is about 8616.8021910683. The cubic root of 74249280 is about 420.3045410294.

It can be divided in two parts, 74249 and 280, that added together give a square (74529 = 273²).

The spelling of 74249280 in words is "seventy-four million, two hundred forty-nine thousand, two hundred eighty".