74935000 has 80 divisors (see below), whose sum is σ = 200748240. Its totient is φ = 25680000.

The previous prime is 74934971. The next prime is 74935009. The reversal of 74935000 is 53947.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 74935000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74935009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33930 + ... + 36070.

It is an arithmetic number, because the mean of its divisors is an integer number (2509353).

Almost surely, 2^74935000 is an apocalyptic number.

74935000 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 74935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100374120).

74935000 is an abundant number, since it is smaller than the sum of its proper divisors (125813240).

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

74935000 is a wasteful number, since it uses less digits than its factorization.

74935000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 74935000 is about 8656.5004476405. The cubic root of 74935000 is about 421.5944682761.

Adding to 74935000 its reverse (53947), we get a palindrome (74988947).

The spelling of 74935000 in words is "seventy-four million, nine hundred thirty-five thousand".