71794000 has 40 divisors (see below), whose sum is σ = 173602728. Its totient is φ = 28716800.

The previous prime is 71793991. The next prime is 71794001. The reversal of 71794000 is 49717.

It can be written as a sum of positive squares in 4 ways, for example, as 1032256 + 70761744 = 1016^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 71794000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71794001) 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 7 ways as a sum of consecutive naturals, for example, 15949 + ... + 19948.

Almost surely, 2^71794000 is an apocalyptic number.

It is an amenable number.

71794000 is an abundant number, since it is smaller than the sum of its proper divisors (101808728).

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

71794000 is a wasteful number, since it uses less digits than its factorization.

71794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35920 (or 35904 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 71794000 is about 8473.1340128668. The cubic root of 71794000 is about 415.6196288902.

The spelling of 71794000 in words is "seventy-one million, seven hundred ninety-four thousand".