74950920 has 192 divisors, whose sum is σ = 275970240. Its totient is φ = 18144000.

The previous prime is 74950879. The next prime is 74950927. The reversal of 74950920 is 2905947.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (74950927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106570 + ... + 107270.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 2^74950920 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 74950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

74950920 is an abundant number, since it is smaller than the sum of its proper divisors (201019320).

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

74950920 is a wasteful number, since it uses less digits than its factorization.

74950920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 74950920 is about 8657.4199389888. The cubic root of 74950920 is about 421.6243221880.

The spelling of 74950920 in words is "seventy-four million, nine hundred fifty thousand, nine hundred twenty".