73085950 has 72 divisors (see below), whose sum is σ = 165136752. Its totient is φ = 23950080.

The previous prime is 73085867. The next prime is 73085953. The reversal of 73085950 is 5958037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73085953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55702 + ... + 56998.

It is an arithmetic number, because the mean of its divisors is an integer number (2293566).

Almost surely, 2^73085950 is an apocalyptic number.

73085950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73085950 is an abundant number, since it is smaller than the sum of its proper divisors (92050802).

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

73085950 is a wasteful number, since it uses less digits than its factorization.

73085950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 73085950 is about 8549.0321089583. The cubic root of 73085950 is about 418.0978800568.

The spelling of 73085950 in words is "seventy-three million, eighty-five thousand, nine hundred fifty".