74774144 has 32 divisors (see below), whose sum is σ = 151204800. Its totient is φ = 36824832.

The previous prime is 74774137. The next prime is 74774153. The reversal of 74774144 is 44147747.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×74774144² = 11182345221865472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74774098 and 74774107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4217 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (4725150).

Almost surely, 2^74774144 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 74774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75602400).

74774144 is an abundant number, since it is smaller than the sum of its proper divisors (76430656).

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

74774144 is an equidigital number, since it uses as much as digits as its factorization.

74774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 8788 counting only the distinct ones).

The product of its digits is 87808, while the sum is 38.

The square root of 74774144 is about 8647.2044037365. The cubic root of 74774144 is about 421.2925862783.

The spelling of 74774144 in words is "seventy-four million, seven hundred seventy-four thousand, one hundred forty-four".