74144000 has 144 divisors (see below), whose sum is σ = 211725696. Its totient is φ = 25344000.

The previous prime is 74143991. The next prime is 74144011. The reversal of 74144000 is 44147.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223835 + ... + 224165.

Almost surely, 2^74144000 is an apocalyptic number.

74144000 is a gapful number since it is divisible by the number (70) 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 74144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105862848).

74144000 is an abundant number, since it is smaller than the sum of its proper divisors (137581696).

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

74144000 is an equidigital number, since it uses as much as digits as its factorization.

74144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 74144000 is about 8610.6910291799. The cubic root of 74144000 is about 420.1057934554.

Adding to 74144000 its reverse (44147), we get a palindrome (74188147).

The spelling of 74144000 in words is "seventy-four million, one hundred forty-four thousand".