74727000 has 288 divisors, whose sum is σ = 278160480. Its totient is φ = 18057600.

The previous prime is 74726983. The next prime is 74727001. The reversal of 74727000 is 72747.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74727001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3248989 + ... + 3249011.

It is an arithmetic number, because the mean of its divisors is an integer number (965835).

Almost surely, 2^74727000 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 74727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

74727000 is an abundant number, since it is smaller than the sum of its proper divisors (203433480).

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

74727000 is a wasteful number, since it uses less digits than its factorization.

74727000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 74727000 is about 8644.4780062188. The cubic root of 74727000 is about 421.2040280673.

Adding to 74727000 its reverse (72747), we get a palindrome (74799747).

The spelling of 74727000 in words is "seventy-four million, seven hundred twenty-seven thousand".