73086000 has 160 divisors (see below), whose sum is σ = 254025408. Its totient is φ = 17971200.

The previous prime is 73085983. The next prime is 73086001. The reversal of 73086000 is 68037.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (73086001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77532 + ... + 78468.

Almost surely, 2^73086000 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 73086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127012704).

73086000 is an abundant number, since it is smaller than the sum of its proper divisors (180939408).

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

73086000 is a wasteful number, since it uses less digits than its factorization.

73086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73086000 is about 8549.0350332655. The cubic root of 73086000 is about 418.0979754006.

The spelling of 73086000 in words is "seventy-three million, eighty-six thousand".