74869920 has 240 divisors, whose sum is σ = 271683720. Its totient is φ = 19408896.

The previous prime is 74869903. The next prime is 74869931. The reversal of 74869920 is 2996847.

74869920 = 394² + 395² + ... + 658².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70358544 + 4511376 = 8388^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686826 + ... + 686934.

Almost surely, 2^74869920 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 74869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135841860).

74869920 is an abundant number, since it is smaller than the sum of its proper divisors (196813800).

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

74869920 is a wasteful number, since it uses less digits than its factorization.

74869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 74869920 is about 8652.7406063050. The cubic root of 74869920 is about 421.4723832921.

The spelling of 74869920 in words is "seventy-four million, eight hundred sixty-nine thousand, nine hundred twenty".