74956752 has 120 divisors (see below), whose sum is σ = 234436384. Its totient is φ = 23048064.

The previous prime is 74956741. The next prime is 74956753. The reversal of 74956752 is 25765947.

It is a junction number, because it is equal to n+sod(n) for n = 74956698 and 74956707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74956753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49803 + ... + 51285.

Almost surely, 2^74956752 is an apocalyptic number.

74956752 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 74956752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117218192).

74956752 is an abundant number, since it is smaller than the sum of its proper divisors (159479632).

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

74956752 is a wasteful number, since it uses less digits than its factorization.

74956752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 74956752 is about 8657.7567533397. The cubic root of 74956752 is about 421.6352575631.

The spelling of 74956752 in words is "seventy-four million, nine hundred fifty-six thousand, seven hundred fifty-two".