74914920 has 96 divisors (see below), whose sum is σ = 257816520. Its totient is φ = 18800640.

The previous prime is 74914909. The next prime is 74914921. The reversal of 74914920 is 2941947.

74914920 is a nontrivial binomial coefficient, being equal to C(12241, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 61121124 + 13793796 = 7818^2 + 3714^2 .

It is a super-2 number, since 2×74914920² = 11224490477212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74914921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 12240.

Almost surely, 2^74914920 is an apocalyptic number.

74914920 is the 12240-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908260).

74914920 is an abundant number, since it is smaller than the sum of its proper divisors (182901600).

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

74914920 is a wasteful number, since it uses less digits than its factorization.

74914920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 74914920 is about 8655.3405478930. The cubic root of 74914920 is about 421.5568073112.

The spelling of 74914920 in words is "seventy-four million, nine hundred fourteen thousand, nine hundred twenty".