74052000 has 432 divisors, whose sum is σ = 305867016. Its totient is φ = 16896000.

The previous prime is 74051981. The next prime is 74052001. The reversal of 74052000 is 25047.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 41835024 = 5676^2 + 6468^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (74052001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4355992 + ... + 4356008.

Almost surely, 2^74052000 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 74052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152933508).

74052000 is an abundant number, since it is smaller than the sum of its proper divisors (231815016).

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

74052000 is a wasteful number, since it uses less digits than its factorization.

74052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 74052000 is about 8605.3471748675. The cubic root of 74052000 is about 419.9319617678.

Adding to 74052000 its reverse (25047), we get a palindrome (74077047).

The spelling of 74052000 in words is "seventy-four million, fifty-two thousand".