74385000 has 320 divisors, whose sum is σ = 281160000. Its totient is φ = 18144000.

The previous prime is 74384993. The next prime is 74385007. The reversal of 74385000 is 58347.

It is an interprime number because it is at equal distance from previous prime (74384993) and next prime (74385007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74385007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2564986 + ... + 2565014.

It is an arithmetic number, because the mean of its divisors is an integer number (878625).

Almost surely, 2^74385000 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 74385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140580000).

74385000 is an abundant number, since it is smaller than the sum of its proper divisors (206775000).

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

74385000 is a wasteful number, since it uses less digits than its factorization.

74385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74385000 is about 8624.6739068790. The cubic root of 74385000 is about 420.5604762200.

The spelling of 74385000 in words is "seventy-four million, three hundred eighty-five thousand".