71893000 has 64 divisors (see below), whose sum is σ = 178167600. Its totient is φ = 27059200.

The previous prime is 71892991. The next prime is 71893013. The reversal of 71893000 is 39817.

It can be written as a sum of positive squares in 8 ways, for example, as 29095236 + 42797764 = 5394^2 + 6542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71893000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14886 + ... + 19114.

Almost surely, 2^71893000 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 71893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89083800).

71893000 is an abundant number, since it is smaller than the sum of its proper divisors (106274600).

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

71893000 is a wasteful number, since it uses less digits than its factorization.

71893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 71893000 is about 8478.9739945350. The cubic root of 71893000 is about 415.8105800601.

The spelling of 71893000 in words is "seventy-one million, eight hundred ninety-three thousand".