74117000 has 64 divisors (see below), whose sum is σ = 175022640. Its totient is φ = 29376000.

The previous prime is 74116997. The next prime is 74117003. The reversal of 74117000 is 71147.

It is an interprime number because it is at equal distance from previous prime (74116997) and next prime (74117003).

It can be written as a sum of positive squares in 8 ways, for example, as 2172676 + 71944324 = 1474^2 + 8482^2 .

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

It is not an unprimeable number, because it can be changed into a prime (74117003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136730 + ... + 137270.

Almost surely, 2^74117000 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 74117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87511320).

74117000 is an abundant number, since it is smaller than the sum of its proper divisors (100905640).

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

74117000 is a wasteful number, since it uses less digits than its factorization.

74117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 74117000 is about 8609.1230680018. The cubic root of 74117000 is about 420.0547925492.

Adding to 74117000 its reverse (71147), we get a palindrome (74188147).

The spelling of 74117000 in words is "seventy-four million, one hundred seventeen thousand".